# Quiz 8: Geometry

Mathematics

Q 1Q 1

Simplify. Write answers to fraction problems in lowest terms and as whole ormixed numbers when possible.

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Q 3Q 3

Choose the figure that matches each label. For right and straight angles, indicate thenumber of degrees in the angle.
Acute angle is figure ______.

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Q 4Q 4

Simplify. Write answers to fraction problems in lowest terms and as whole or mixed numbers when possible.
1 - 0.0868

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Q 6Q 6

Choose the figure that matches each label. For right and straight angles, indicate the number of degrees in the angle.
Right angle is figure ____ and its measure is _____.

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Q 7Q 7

Simplify. Write answers to fraction problems in lowest terms and as whole or mixed numbers when possible.
(0.006)(0.013)

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Q 9Q 9

Choose the figure that matches each label. For right and straight angles, indicate thenumber of degrees in the angle.
Ray is figure _____.

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Q 10Q 10

Simplify. Write answers to fraction problems in lowest terms and as whole or mixed numbers when possible.
0.7 0.036 Round answer to the nearest hundredth.

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Q 12Q 12

Choose the figure that matches each label. For right and straight angles, indicate thenumber of degrees in the angle.
Straight angle is figure _____ and its measure is _____.

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Q 13Q 13

Simplify. Write answers to fraction problems in lowest terms and as whole or mixed numbers when possible.

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Q 15Q 15

Choose the figure that matches each label. For right and straight angles, indicate the number of degrees in the angle.
Write a definition of parallel lines and a definition of perpendicular lines. Make a sketch to illustrate each definition.

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Q 16Q 16

Simplify. Write answers to fraction problems in lowest terms and as whole or mixed numbers when possible.
16 - (10 - 2) 2(3) + 5

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Q 18Q 18

Choose the figure that matches each label. For right and straight angles, indicate thenumber of degrees in the angle.
Find the complement of an 81° angle.

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Q 19Q 19

Simplify. Write answers to fraction problems in lowest terms and as whole or mixed numbers when possible.
Write 0.0208 in words.

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Q 20Q 20

Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.

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Q 21Q 21

Choose the figure that matches each label. For right and straight angles, indicate thenumber of degrees in the angle.
Find the supplement of a 20° angle.

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Q 23Q 23

Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.

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Q 24Q 24

Choose the figure that matches each label. For right and straight angles, indicate the number of degrees in the angle.
Find the measure of each unlabeled angle in the figure at the right.

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There is no answer for this question

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Q 26Q 26

Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.

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Q 29Q 29Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.

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Q 32Q 32

In the figure you are given the measures of two of the angles. Find the measure of the other angles.

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Q 35Q 35

In the figure you are given the measures of two of the angles. Find the measure of the other angles.

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Q 44Q 44

Find the complement or supplement of each angle.
Find the complement of:
a) 80°
(b) 45°
(c) 7°

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Q 47Q 47

Find the complement or supplement of each angle.
Find the supplement of:
(a) 155°
(b) 90°
(c) 33°

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Q 48Q 48

Use 3.14 as the approximate value for . Round your answers tothe nearest tenth when necessary.
Find the radius.

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Q 49Q 49

Write the most reasonable metric unit in each blank. Choose from km, m, cm, mm,L, mL, kg, g, and mg.
Her wristwatch strap is 15 ___ wide.

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Q 51Q 51

Use 3.14 as the approximate value for . Round your answers tothe nearest tenth when necessary.
Find the circumference.

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Q 52Q 52

Write the most reasonable metric unit in each blank. Choose from km, m, cm, mm,L, mL, kg, g, and mg.
Jon added 2 ___ of oil to his car.

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Q 54Q 54

Use 3.14 as the approximate value for . Round your answers tothe nearest tenth when necessary.
Find the area of each figure.

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Q 55Q 55

Write the most reasonable metric unit in each blank. Choose from km, m, cm, mm,L, mL, kg, g, and mg.
The child weighs 15 ____.

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Q 56Q 56

A square-shaped pillow measures 38 cm along each side. How much lace is needed to trim all the edges

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Q 57Q 57

Use 3.14 as the approximate value for . Round your answers tothe nearest tenth when necessary.
Find the area of each figure.

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Q 58Q 58

Write the most reasonable metric unit in each blank. Choose from km, m, cm, mm,L, mL, kg, g, and mg.
The bookcase is 90 ____ high.

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Q 59Q 59

A rectangular garden plot is 8 ft wide and 12 ft long. How much fencing is needed to surround the garden

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Q 60Q 60

Use 3.14 as the approximate value for . Round your answers tothe nearest tenth when necessary.
Name the solid and find its volume.

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Q 61Q 61

Name each figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value of .

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Q 62Q 62

Find the area of the rectangle or square. Round your answers to the nearest tenthwhen necessary.

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Q 63Q 63

Use 3.14 as the approximate value for . Round your answers tothe nearest tenth when necessary.
Name the solid and find its volume.

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Q 64Q 64

Name each figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value of .

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Q 65Q 65

Find the area of the rectangle or square. Round your answers to the nearest tenthwhen necessary.

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Q 66Q 66

Use 3.14 as the approximate value for . Round your answers tothe nearest tenth when necessary.
Name the solid and find its volume.

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Q 67Q 67

Name each figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value of .

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Q 68Q 68

Find the area of the rectangle or square. Round your answers to the nearest tenthwhen necessary.

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Q 70Q 70Name each figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value of .

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Q 71Q 71

Find the perimeter and area of the parallelogram or trapezoid. Round youranswers to the nearest tenth when necessary.

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Q 72Q 72

Find the unknown lengths. Round your answers to the nearest tenth when necessary.
Similar triangles

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Q 74Q 74

Find the perimeter and area of the parallelogram or trapezoid. Round youranswers to the nearest tenth when necessary.

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Q 75Q 75

Explain the difference between cm, cm 2 , and cm 3. In what types of geometry problems might you use each of these units

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Q 76Q 76

Mei Ling must earn 90 credits to receive an associate of arts degree. She has 53 credits. What percent of the necessary credits does she have Round to the nearest whole percent.

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Q 77Q 77

Find the perimeter and area of the parallelogram or trapezoid. Round youranswers to the nearest tenth when necessary.

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Q 78Q 78

A Folger's coffee can has a diameter of 15.6 cm and a height of 16 cm. Find the volume of the can. Use 3.14 for and round your answer to the nearest tenth. ( Source: Folger's.)

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Q 80Q 80

Which bag of chips is the best buy: Brand T is 8 oz for $3.09, Brand F is 10 oz for $3, and Brand His 9 oz for $3.69. You have a coupon for 50¢ off Brand H and another for 75¢ off Brand T.

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Q 82Q 82

Steven bought a 4 yd length of canvas material to repair the tents used by the scout troop. He used 1 yd on one tent and 1 yd on another. What length of material is left

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Q 84Q 84

The cooks at a homeless shelter used 25 lb of meat, 35 lb of potatoes, and 15 lb of carrots to make stew for 140 people. At that rate, how much of each item is needed for stew to feed 200 people Round to the nearest tenth.

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Q 86Q 86

Graciela needs 85 cm of yarn to make a tassel for one corner of a pillow. How many meters of yarn does she need to put a tassel on each corner of a square-shaped pillow

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Q 88Q 88

Swimsuits are on sale in August at 65% off the regular price. How much will Lanece pay for a suit that has a regular price of $64

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Q 89Q 89

Find the unknown length.
The radius of a circular irrigation field is 68.9 m. What is the diameter of the field

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Q 91Q 91

Find the circumference and area of each circle. Use 3.14 as the approximate value for .Round your answers to the nearest tenth.

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Q 92Q 92

Find the circumference and area of each circle. Use 3.14 as the approximate value for .Round your answers to the nearest tenth.

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Q 93Q 93

Find the circumference and area of each circle. Use 3.14 as the approximate value for .Round your answers to the nearest tenth.

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Q 94Q 94

Find each shaded area. Note that Exercises 44 and 45 contain semicircles.Use 3.14 as the approximate value for . Round your answers to the nearest tenthwhen necessary.

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Q 95Q 95

Find each shaded area. Note that Exercises 44 and 45 contain semicircles.Use 3.14 as the approximate value for . Round your answers to the nearest tenthwhen necessary.

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Q 96Q 96

Find each shaded area. Note that Exercises 44 and 45 contain semicircles.Use 3.14 as the approximate value for . Round your answers to the nearest tenthwhen necessary.

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Q 97Q 97

Find each shaded area. Note that Exercises 44 and 45 contain semicircles. Use 3.14 as the approximate value for . Round your answers to the nearest tenth when necessary.

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Q 98Q 98Find each shaded area. Note that Exercises 44 and 45 contain semicircles.Use 3.14 as the approximate value for . Round your answers to the nearest tenthwhen necessary.

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Q 99Q 99Find each shaded area. Note that Exercises 44 and 45 contain semicircles.Use 3.14 as the approximate value for . Round your answers to the nearest tenthwhen necessary.

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Q 100Q 100Find each shaded area. Note that Exercises 44 and 45 contain semicircles.Use 3.14 as the approximate value for . Round your answers to the nearest tenthwhen necessary.

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Q 101Q 101Find each shaded area. Note that Exercises 44 and 45 contain semicircles.Use 3.14 as the approximate value for . Round your answers to the nearest tenthwhen necessary.

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Q 102Q 102Find each shaded area. Note that Exercises 44 and 45 contain semicircles.Use 3.14 as the approximate value for . Round your answers to the nearest tenthwhen necessary.

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Q 103Q 103

Name each solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 104Q 104

Name each solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 105Q 105

Name each solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 106Q 106Name each solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 107Q 107Name each solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 108Q 108Name each solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 109Q 109Name each solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 110Q 110Name each solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 111Q 111Name each solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 120Q 120

Find the unknown length in the right triangle. Use a calculator to findsquare roots. Round your answers to the nearest tenth when necessary.

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Q 121Q 121

Find the unknown length in the right triangle. Use a calculator to findsquare roots. Round your answers to the nearest tenth when necessary.

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Q 122Q 122

Find the unknown length in the right triangle. Use a calculator to findsquare roots. Round your answers to the nearest tenth when necessary.

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Q 123Q 123Find the unknown length in the right triangle. Use a calculator to findsquare roots. Round your answers to the nearest tenth when necessary.

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Q 124Q 124Find the unknown length in the right triangle. Use a calculator to findsquare roots. Round your answers to the nearest tenth when necessary.

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Q 125Q 125Find the unknown length in the right triangle. Use a calculator to findsquare roots. Round your answers to the nearest tenth when necessary.

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Q 126Q 126

Find the unknown lengths in the pair of similar triangles. Then find the perimeterof the larger triangle in the pair.

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Q 127Q 127

Find the unknown lengths in the pair of similar triangles. Then find the perimeterof the larger triangle in the pair.

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Q 128Q 128

Find the unknown lengths in the pair of similar triangles. Then find the perimeterof the larger triangle in the pair.

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Q 129Q 129

Name the figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value for . Round your answers to the nearest tenth when necessary.

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Q 130Q 130

Name the figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value for . Round your answers to the nearest tenth when necessary.

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Q 131Q 131

Name the figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value for . Round your answers to the nearest tenth when necessary.

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Q 132Q 132Name the figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value for . Round your answers to the nearest tenth when necessary.

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Q 133Q 133Name the figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value for . Round your answers to the nearest tenth when necessary.

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Q 134Q 134Name the figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value for . Round your answers to the nearest tenth when necessary.

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Q 135Q 135Name the figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value for . Round your answers to the nearest tenth when necessary.

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Q 136Q 136Name the figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value for . Round your answers to the nearest tenth when necessary.

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Q 137Q 137Name the figure and find its perimeter (or circumference) and area. Use 3.14 as theapproximate value for . Round your answers to the nearest tenth when necessary.

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Q 138Q 138

Label the figure. Choose from these labels: line segment, ray, parallel lines, perpendicular lines, intersecting lines, acute angle, right angle, straight angle, obtuse angle. Indicate the number of degrees in the right angle and the straight angle.

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Q 139Q 139

Label the figure. Choose from these labels: line segment, ray, parallel lines,perpendicular lines, intersecting lines, acute angle, right angle, straight angle,obtuse angle. Indicate the number of degrees in the right angle and the straight angle.

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Q 140Q 140

Label the figure. Choose from these labels: line segment, ray, parallel lines,perpendicular lines, intersecting lines, acute angle, right angle, straight angle,obtuse angle. Indicate the number of degrees in the right angle and the straight angle.

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Q 141Q 141

Label the figure. Choose from these labels: line segment, ray, parallel lines,perpendicular lines, intersecting lines, acute angle, right angle, straight angle,obtuse angle. Indicate the number of degrees in the right angle and the straight angle.

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Q 142Q 142Label the figure. Choose from these labels: line segment, ray, parallel lines,perpendicular lines, intersecting lines, acute angle, right angle, straight angle,obtuse angle. Indicate the number of degrees in the right angle and the straight angle.

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Q 143Q 143Label the figure. Choose from these labels: line segment, ray, parallel lines,perpendicular lines, intersecting lines, acute angle, right angle, straight angle,obtuse angle. Indicate the number of degrees in the right angle and the straight angle.

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Q 144Q 144Label the figure. Choose from these labels: line segment, ray, parallel lines,perpendicular lines, intersecting lines, acute angle, right angle, straight angle,obtuse angle. Indicate the number of degrees in the right angle and the straight angle.

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Q 145Q 145Label the figure. Choose from these labels: line segment, ray, parallel lines,perpendicular lines, intersecting lines, acute angle, right angle, straight angle,obtuse angle. Indicate the number of degrees in the right angle and the straight angle.

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Q 146Q 146Label the figure. Choose from these labels: line segment, ray, parallel lines,perpendicular lines, intersecting lines, acute angle, right angle, straight angle,obtuse angle. Indicate the number of degrees in the right angle and the straight angle.

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Q 151Q 151

Name the solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 152Q 152

Name the solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 153Q 153

Name the solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 154Q 154Name the solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 155Q 155Name the solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 156Q 156Name the solid and find its volume. Use 3.14 as the approximate value for .Round your answers to the nearest tenth when necessary.

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Q 157Q 157

Find the unknown angle or side measurement. Round your answers to thenearest tenth when necessary.

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Q 158Q 158

Find the unknown angle or side measurement. Round your answers to thenearest tenth when necessary.

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Q 159Q 159

Find the unknown angle or side measurement. Round your answers to thenearest tenth when necessary.
Similar triangles

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Q 160Q 160

Explain how you could use the information about prefixes from earlier in this chapter to solve a problem that asks, "How many decades are in two centuries "

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Q 161Q 161

Explain the difference between a line, a line segment, and a ray. Draw a picture of each one.

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Q 162Q 162

Explain the difference between acute, obtuse, straight, and right angles. Draw a picture of each type of angle.

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Q 163Q 163

Identify the figure as a line, line segment, or ray and name it using the appropriatesymbol.

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Q 164Q 164

Identify the figure as a line, line segment, or ray and name it using the appropriatesymbol.

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Q 165Q 165

Identify the figure as a line, line segment, or ray and name it using the appropriatesymbol.

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Q 166Q 166

Identify the figure as a line, line segment, or ray and name it using the appropriatesymbol.

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Q 167Q 167

Identify the figure as a line, line segment, or ray and name it using the appropriatesymbol.

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Q 168Q 168

Identify the figure as a line, line segment, or ray and name it using the appropriatesymbol.

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Q 175Q 175

Name the highlighted angle by using the three-letter form of identification.
Which letter names the vertex The vertex letter must be in the middle when naming an angle, so this is or .

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Q 176Q 176

Name the highlighted angle by using the three-letter form of identification.
Which letter names the vertex The vertex letter must be in the middle when naming an angle, so this is or .

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Q 179Q 179

Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.
Hint: Notice the small red square at the vertex.

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Q 180Q 180

Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.
Because the angle measure is greater than a square corner of ______ and less than a straight line of ____, it is a(n) ______ angle.

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Q 181Q 181Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.

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Q 182Q 182Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.

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Q 183Q 183Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.

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Q 184Q 184Label the angle as acute, right, obtuse, or straight. For right and straight angles,indicate the number of degrees in the angle.

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Q 185Q 185

Explain what is happening in each sentence.
( a) The road was so slippery that my car did a 360.
(b) After the election, the governor's view on taxes took a 180° turn.

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Q 186Q 186

Find at least four examples of right angles in your home, at work, or on the street. Make a sketch of each example and label the right angle.

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Q 187Q 187

Use the figure below to work in order. Decide whether the statement istrue or false. If it is true, explain why. If it is false, rewrite it to make it a true statement.

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Q 188Q 188

Use the figure below to work in order. Decide whether the statement is true or false. If it is true, explain why. If it is false, rewrite it to make it a true statement.

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Q 189Q 189

Use the figure below to work in order. Decide whether the statement is true or false. If it is true, explain why. If it is false, rewrite it to make it a true statement.

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Q 190Q 190

Use the figure below to work in order. Decide whether the statement is true or false. If it is true, explain why. If it is false, rewrite it to make it a true statement.

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Q 191Q 191Use the figure below to work in order. Decide whether the statement is true or false. If it is true, explain why. If it is false, rewrite it to make it a true statement.

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Q 192Q 192Use the figure below to work in order. Decide whether the statement is true or false. If it is true, explain why. If it is false, rewrite it to make it a true statement.

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Q 193Q 193

Can you find the supplement of a 5º angle Explain why or why not. If it is possible to find a supplement, show how to do it.

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Q 194Q 194

Can you find the complement of a 135º angle Explain why or why not. If it is possible to find a complement, show how to do it.

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Q 211Q 211

Use your knowledge of vertical angles to answer
In the figure below, measures 37° and measures 63°. Find the measure of each of the other angles.

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Q 212Q 212

Use your knowledge of vertical angles to answer
In the figure below, measures 105° and measures 40°. Find the measure of each of the other angles.

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Q 213Q 213

In each figure, is parallel to . Identify two pairs of congruent angles and thenumber of degrees in each congruent angle.

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Q 214Q 214

In each figure, is parallel to . Identify two pairs of congruent angles and thenumber of degrees in each congruent angle.

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Q 215Q 215

Look at the figure in Exercise below. Explain the difference between finding the perimeter of the figure and finding the area of the figure. Will the units in the answer for the perimeter be yd or yd 2 Will the units in the answer for the area be yd or yd 2
Exercise

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Q 216Q 216

Explain what is special about a rectangle. Explain what is special about a square. Make a drawing of each figure and label all the sides with measurements that you choose.

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Q 221Q 221

Draw a sketch of the square or rectangle and label the lengths of the sides. Then findthe perimeter and the area. (Sketches may vary; show your sketches to your instructor.)
10 ft by 10 ft

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Q 222Q 222

Draw a sketch of the square or rectangle and label the lengths of the sides. Then findthe perimeter and the area. (Sketches may vary; show your sketches to your instructor.)
8 cm by 17 cm

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Q 223Q 223

Draw a sketch of the square or rectangle and label the lengths of the sides. Then findthe perimeter and the area. (Sketches may vary; show your sketches to your instructor.)
A storage building that is 76.1 ft by 22 ft

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Q 224Q 224

Draw a sketch of the square or rectangle and label the lengths of the sides. Then findthe perimeter and the area. (Sketches may vary; show your sketches to your instructor.)
A science lab measuring 12 m by 12 m

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Q 225Q 225

Draw a sketch of the square or rectangle and label the lengths of the sides. Then findthe perimeter and the area. (Sketches may vary; show your sketches to your instructor.)
A square nature preserve 3 mi wide

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Q 226Q 226

Draw a sketch of the square or rectangle and label the lengths of the sides. Then findthe perimeter and the area. (Sketches may vary; show your sketches to your instructor.)
square of cardboard 20.3 cm on a side

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Q 231Q 231

First find the length of the unlabeled side in the figure. Then find the perimeter andarea of the figure.

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Q 232Q 232

First find the length of the unlabeled side in the figure. Then find the perimeter andarea of the figure.

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Q 233Q 233

Solve each application problem. Draw a sketch for each problemand label it with the appropriate measurements. (Sketches may vary; show yoursketches to your instructor.)
Gymnastic floor exercises are performed on a square mat that is 12 meters on a side. Find the perimeter and area of a mat. ( Source: nist.gov)

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Q 234Q 234

Solve each application problem. Draw a sketch for each problemand label it with the appropriate measurements. (Sketches may vary; show yoursketches to your instructor.)
A regulation volleyball court is 18 meters by 9 meters. Find the perimeter and area of a regulation court. ( Source: nist.gov)

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Q 235Q 235

Solve each application problem. Draw a sketch for each problemand label it with the appropriate measurements. (Sketches may vary; show yoursketches to your instructor.)
SooJin's laptop computer has a rectangular screen that is 12.3 in. wide and 7.8 in. high. The screen on her notebook computer measures 10.3 in. by 7.5 in. Find the area of each screen to the nearest whole number. Then find the difference in the areas.

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Q 236Q 236

Solve each application problem. Draw a sketch for each problemand label it with the appropriate measurements. (Sketches may vary; show yoursketches to your instructor.)
A page in this book measures 27.5 cm from top to bottom and 21 cm from side to side. Find the perimeter and the area of the page.

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Q 237Q 237

Solve each application problem. Draw a sketch for each problemand label it with the appropriate measurements. (Sketches may vary; show yoursketches to your instructor.)
Tyra's kitchen is 4.4 m wide and 5.1 m long. She is pasting a decorative border strip that costs $4.99 per meter around the top edge of all the walls. How much will she spend

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Q 238Q 238

Solve each application problem. Draw a sketch for each problemand label it with the appropriate measurements. (Sketches may vary; show yoursketches to your instructor.)
Mr. and Mrs. Gomez are buying carpet for their square-shaped bedroom that is 5 yd wide. The carpet is $23 per square yard and padding and installation is another $6 per square yard. How much will they spend in all

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Q 239Q 239

Regulation soccer fields for teens and adults can measure from 50 to 80 yards wide and 100 to 120 yards long, depending on the age and skill level of the players. Find the area of the smallest soccer field and the area of the largest soccer field. What is the difference in the playing room between the smallest and largest fields

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Q 240Q 240

The table below shows information on two tents for camping.
(a) For the Coleman tent, find the perimeter, area, and number of square feet of floor space for each camper. Round to the nearest whole number.
(b) Find the same information for the Eddie Bauer tent.

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Q 241Q 241

A regulation football field is rectangular, 100 yd long (excluding end zones), and has an area of 5300 yd2. Find the width of the field. ( Source: National Football League.)

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Q 242Q 242

There are 15,130 ft 2 of ice on the surface of the rectangular playing area for a major league hockey game (excluding the area behind the goal lines). If the playing area is 85 ft wide, how long is it ( Source: National Hockey League.)

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Q 243Q 243

A rectangular lot is 124 ft by 172 ft. County rules require that nothing be built on land within 12 ft of any edge of the lot. First, add labels to the sketch of the lot, showing the land that cannot be built on. Then find the area of the land that cannot be built on.

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Q 244Q 244

Find the cost of fencing needed for this rectangular field. Fencing along the country roads costs $4.25 per foot. Fencing for the other two sides costs $2.75 per foot.

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Q 245Q 245

Use your knowledge of perimeter and area to work in order.
Suppose you have 12 ft of fencing to make a square or rectangular garden plot. Draw sketches of all the possible plots that use exactly 12 ft of fencing and label the lengths of the sides. Use only whole number lengths. ( Hint: There are three possibilities.)

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Q 246Q 246

Use your knowledge of perimeter and area to work in order.
(a) Find the area of each plot in Exercise.
(b) Which plot has the greatest area
Exercise
Suppose you have 12 ft of fencing to make a square or rectangular garden plot. Draw sketches of all the possible plots that use exactly 12 ft of fencing and label the lengths of the sides. Use only whole number lengths. ( Hint: There are three possibilities.)

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Q 247Q 247

Use your knowledge of perimeter and area to work in order.
Repeat Exercise using 16 ft of fencing. Be sure to draw all possible plots that have whole number lengths for the sides.
Exercise
Suppose you have 12 ft of fencing to make a square or rectangular garden plot. Draw sketches of all the possible plots that use exactly 12 ft of fencing and label the lengths of the sides. Use only whole number lengths. ( Hint: There are three possibilities.)

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Q 248Q 248

Use your knowledge of perimeter and area to work in order.
(a) Find the area of each plot in Exercise.
(b) Compare your results to those from Exercise. What do you notice about the plots with the greatest area
Exercise
Repeat Exercise using 16 ft of fencing. Be sure to draw all possible plots that have whole number lengths for the sides.
Exercise
Suppose you have 12 ft of fencing to make a square or rectangular garden plot. Draw sketches of all the possible plots that use exactly 12 ft of fencing and label the lengths of the sides. Use only whole number lengths. ( Hint: There are three possibilities.)
Exercise
(a) Find the area of each plot in Exercise.
(b) Which plot has the greatest area
Exercise
Suppose you have 12 ft of fencing to make a square or rectangular garden plot. Draw sketches of all the possible plots that use exactly 12 ft of fencing and label the lengths of the sides. Use only whole number lengths. ( Hint: There are three possibilities.)

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Q 249Q 249

Use your knowledge of perimeter and area to work in order.
(a) Draw a sketch of a rectangular plot 3 ft by 2 ft. Find the perimeter and area.
(b) Suppose you double the length of the plot and double the width. Draw a sketch of the enlarged plot and find the perimeter and area.
(c) The perimeter of the enlarged plot is how many times greater than the perimeter of the original plot The area of the enlarged plot is how many times greater than the original area

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Q 250Q 250

Use your knowledge of perimeter and area to work in order.
(a) Refer to Exercise(a). Suppose you triple the length and width of the original plot. Draw a sketch of the enlarged plot and find the perimeter and area.
(b) How many times greater is the perimeter of the enlarged plot How many times greater is the area of the enlarged plot
(c) Suppose you make the length and width four times greater in the enlarged plot. What would you predict will happen to the perimeter and area, compared to the original plot
Exercise (a)
(a) Draw a sketch of a rectangular plot 3 ft by 2 ft. Find the perimeter and area.

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Q 251Q 251

Explain what is special about a parallelogram. Draw a parallelogram and label the lengths of all the sides.

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Q 252Q 252

Suppose you want to find the perimeter of a figure with five sides, like the Pentagon building in Washington, D.C. Explain how you would do it. Draw a figure with five sides, label the lengths of all the sides, and find the perimeter.

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Q 265Q 265

Find two errors in the student's solution below. Write a sentenceexplaining the error. Then show how to work the problem correctly.
P = 2.5 cm + 2.4 cm + 2.5 cm + 2.5 cm + 2.5 cm
P = 12.4 cm 2

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Q 266Q 266

Find two errors in the student's solution below. Write a sentenceexplaining the error. Then show how to work the problem correctly.
A = (0.5) (11.6 ft) (12 ft + 13ft)
A = 145 ft

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Q 267Q 267

Solve each application problem. First label the bases and heights on the sketches. See Example.
The backyard of a new home is shaped like a trapezoid with a height of 45 ft and bases of 80 ft and 110 ft. What is the cost of putting sod on the yard if the landscaper charges $0.33 per square foot for sod
Example

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Q 268Q 268

Solve each application problem. First label the bases and heights on the sketches. See Example.
The Dockland office building in Hamburg, Germany, is seven stories tall. Each of the seven floors is in the shape of a parallelogram with a height of 22 m and a base of 88 m. Find the total area of all seven floors.
Example

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Q 269Q 269

Solve each application problem. First label the bases and heights on the sketches. See Example.
A piece of fabric for a quilt design is in the shape of a parallelogram. The base is 5 in. and the height is 3.5 in. What is the total area of the 25 parallelogram pieces needed for the quilt
Example

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Q 270Q 270

Solve each application problem. First label the bases and heights on the sketches. See Example.
An accountant is paying $832 per month to rent an office in an old building. Her office is shaped like a trapezoid, with bases of 32 ft and 20 ft and a height of 20 ft. How much rent is she paying per square foot
Example

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Q 274Q 274

Look at Exercise below. Which measurements will you use to find the area of the triangle Will the units in your answer be m or m 2
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Q 275Q 275

Look at Exercise below. Which measurements will you use to find the perimeter of the triangle Will the units in your answer be m or m 2
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Q 284Q 284

Find the shaded area in each figure. See Example.
Find the area of the triangle.
A = 0.5 12 m ______
A = ______
Find the area of the square.
A = 12 m, _____
A = _____
Now add to find the area of the entire figure.
Example

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Q 285Q 285

Find the shaded area in each figure. See Example.
Find the area of the triangle on the left.
A = 0.5 27 m ______
A = ______
Find the area of the parallelogram on the right.
A = 20 m, _____
A = _____
Now add to find the area of the entire figure.
Example

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Q 293Q 293

In your own words, explain where the comes from in the formula for area of a triangle. Draw a sketch to illustrate your explanation.

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Q 294Q 294

Solve each application problem. See Example.
A triangular tent flap measures 3 ft along the base and has a height of 4 ft. How much canvas is needed to make the flap
Example

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Q 295Q 295

Solve each application problem. See Example.
A wooden sign in the shape of a right triangle has perpendicular sides measuring 1.5 m and 1.2 m. How much surface area does the sign have
Example

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Q 296Q 296

Solve each application problem. See Example.
A triangular space between three streets has the measurements shown below.
(a) How much new curbing will be needed to go around the space
(b) How much sod will be needed to cover the space
Example

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Q 297Q 297

Solve each application problem. See Example.
Each gable end of a new house has a span of 36 ft and a rise of 9.5 ft. What is the total area of both gable ends of the house
Example

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Q 298Q 298

Solve each application problem. See Example.
All sides of the house below are congruent and all roof sections are congruent.
(a) Find the area of one side of the house.
(b) Find the area of one roof section.
Example

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Q 299Q 299

Solve each application problem. See Example.
The sketch shows the plan for an office building. The shaded area will be a parking lot. What is the cost of building the parking lot if the contractor charges $35 per square yard for materials and labor
Example

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Q 300Q 300

Solve each application problem. See Example.
A city lot with an unusual shape is shown below.
(a) How much frontage (distance along streets) does the lot have
(b) What is the area of the lot
Example

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Q 301Q 301

Solve each application problem. See Example.
A car dealership wants three nylon pennants to hang in its front window. The height of the two smaller pennants is 3.5 ft , and the larger pennant has a height of 6.5 ft. How much nylon fabric is needed for all the pennants
Example

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Q 302Q 302

Fill in the blanks. Choose from height, perimeter, area, base, ft, and ft 2.
Finding the circumference of a circle is like finding the _________ of a triangle. If the circle's radius and diameter are measured in feet, then the units for the circumference will be __________.

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Q 303Q 303

Fill in the blanks. Choose from radius, diameter, circumference, divide by 2, and multiply by 2.
To use the formula for finding the area of a circle, you need to know the length of the _________. If you are given the diameter of a circle, what should you do to it to find the radius _________

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Q 308Q 308

Find the circumference and area of each circle. Use 3.14 as the approximate valuefor . Round your answers to the nearest tenth. See Examples 1 and 2.
Example 1
Example 2

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Q 309Q 309

Find the circumference and area of each circle. Use 3.14 as the approximate valuefor . Round your answers to the nearest tenth. See Examples 1 and 2.
Example 1
Example 2

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Q 310Q 310

Find the circumference and area of each circle. Use 3.14 as the approximate valuefor . Round your answers to the nearest tenth. See Examples 1 and 2.
Example 1
Example 2

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Q 311Q 311Find the circumference and area of each circle. Use 3.14 as the approximate valuefor . Round your answers to the nearest tenth. See Examples 1 and 2.
Example 1
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Q 312Q 312Find the circumference and area of each circle. Use 3.14 as the approximate valuefor . Round your answers to the nearest tenth. See Examples 1 and 2.
Example 1
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Q 313Q 313Find the circumference and area of each circle. Use 3.14 as the approximate valuefor . Round your answers to the nearest tenth. See Examples 1 and 2.
Example 1
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Q 314Q 314Find the circumference and area of each circle. Use 3.14 as the approximate valuefor . Round your answers to the nearest tenth. See Examples 1 and 2.
Example 1
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Q 315Q 315Find the circumference and area of each circle. Use 3.14 as the approximate valuefor . Round your answers to the nearest tenth. See Examples 1 and 2.
Example 1
Example 2

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Q 316Q 316

Find each shaded area. Note that Exercises 15-18 all contain semicircles. Use 3.14 as theapproximate value of . Round your answers to the nearest tenth if necessary. See Example.
Example

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Q 317Q 317

Find each shaded area. Note that Exercises 15-18 all contain semicircles. Use 3.14 as theapproximate value of . Round your answers to the nearest tenth if necessary. See Example.
Example

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Q 318Q 318

Find each shaded area. Note that Exercises 15-18 all contain semicircles. Use 3.14 as theapproximate value of . Round your answers to the nearest tenth if necessary. See Example.
Example

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Q 319Q 319Find each shaded area. Note that Exercises 15-18 all contain semicircles. Use 3.14 as theapproximate value of . Round your answers to the nearest tenth if necessary. See Example.
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Q 322Q 322

Solve each application problem. Use 3.14 as the approximate value of . Round youranswers to the nearest tenth. See Examples 1 and 2.
An irrigation system moves around a center point to water a circular area for crops. If the irrigation system is 50 yd long, how large is the watered area
Example 1
Example 2

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Q 323Q 323

Solve each application problem. Use 3.14 as the approximate value of . Round youranswers to the nearest tenth. See Examples 1 and 2.
If you swing a ball held at the end of a string 20 cm long, how far will the ball travel on each turn
Example 1
Example 2

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Q 324Q 324

Solve each application problem. Use 3.14 as the approximate value of . Round youranswers to the nearest tenth. See Examples 1 and 2.
A Michelin Cross Terrain SUV tire has an overall diameter of 29.10 inches. How far will a point on the tire tread move in one complete turn ( Source: Michelin.) Bonus question: How many revolutions does the tire make per mile Round to the nearest whole number.
Example 1
Example 2

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Q 325Q 325

Solve each application problem. Use 3.14 as the approximate value of . Round youranswers to the nearest tenth. See Examples 1 and 2.
In August 2011, Hurricane Irene moved along the East Coast of the United States, from North Carolina to New York City. Some 65 million people live along this coast, the greatest number of people threatened by a hurricane in American history. The huge circular storm had a diameter of 500 miles. By contrast, Hurricane Katrina, which flooded New Orleans in 2005, had a diameter of 210 miles. What was the area of each hurricane, to the nearest hundred square miles ( Source : Associated Press).
Example 1
Example 2

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Q 326Q 326

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
A radio station can be heard 150 miles in all directions during evening hours. How many square miles are in the station's broadcast area ( Hint: Use the drawing of the broadcast area to help you.)

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Q 327Q 327

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
An earthquake was felt by people 900 km away in all directions from the epicenter (the source of the earthquake). How much area was affected by the quake

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Q 328Q 328

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
The diameter of Diana Hestwood's wristwatch is 1 in. and the radius of the clock face on her kitchen wall is 3 in. Find the circumference and the area of the watch face and the clock face.

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Q 329Q 329

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
The diameter of the largest known ball of twine is 12 ft 9 in. The sign posted near the ball says it has a circumference of 40 ft. Is the sign correct Hint: First change 9 in. to feet and add it to 12 ft. ( Source: Guinness World Records. )

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Q 330Q 330

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
Blaine Fenstad wants to buy a pair of two-way radios. Some models have a range of 2 miles under ideal conditions. More expensive models have a range of 5 miles. What is the difference in the area covered by the 2-mile and 5-mile models ( Source: Best Buy.)

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Q 331Q 331

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
The National Audubon Society holds an end-of-year bird count. Volunteers count all the birds they see in a circular area during a 24-hour period. Each circle has a diameter of 15 miles. About 1700 circular areas are counted across the United States each December. What is the total area covered by the count

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Q 332Q 332

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
To find the age of a living tree, a forestry specialist measures the circumference of the tree. (See photo.)
(a) If the circumference of a tree is 144 cm, what is the diameter
(b) Explain how you solved part (a).

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Q 333Q 333

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
In Atlanta, Interstate 285 circles the city and is known as the "perimeter." If the circumference of the circle made by the highway is 62.8 miles, find
(a) the diameter of the circle.
(b) the area inside the circle.
( Source: Greater Atlanta Newcomer's Guide. )

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Q 334Q 334

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
Find the cost of sod, at $0.49 per square foot, for this playing field that has a semicircle on each end.

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Q 335Q 335

For Exercises, first draw a circle and label the radius or diameter. Thensolve the problem. Use 3.14 as the approximate value of and round answers to the nearest tenth, money answers to the nearest cent
Find the area of this skating rink.

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Q 336Q 336

Use the information about prefixes in Example to answer Exercises.
Explain how you could use the information about prefixes to remember the difference between radius, diameter, and circumference.
Example

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Q 337Q 337

Use the information about prefixes in Example to answer Exercises.
Explain how you could use the information about prefixes to avoid confusion between parallel and perpendicular lines.
Example

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Q 338Q 338

Find the best buy for each type of pizza. The best buy is the lowest cost per square inch of pizza. All the pizzas are circular, and the measurement given on the menu board is the diameter of the pizza in inches. Use 3.14 as the approximate value of . Round the area to the nearest tenth. Round cost per square inch to the nearest thousandth.
Find the area of a small pizza.

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Q 339Q 339

Find the best buy for each type of pizza. The best buy is the lowest cost per square inch of pizza. All the pizzas are circular, and the measurement given on the menu board is the diameter of the pizza in inches. Use 3.14 as the approximate value of . Round the area to the nearest tenth. Round cost per square inch to the nearest thousandth.
Find the area of a medium pizza.

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Q 340Q 340

Find the best buy for each type of pizza. The best buy is the lowest cost per square inch of pizza. All the pizzas are circular, and the measurement given on the menu board is the diameter of the pizza in inches. Use 3.14 as the approximate value of . Round the area to the nearest tenth. Round cost per square inch to the nearest thousandth.
Find the area of a large pizza.

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Q 341Q 341

Find the best buy for each type of pizza. The best buy is the lowest cost per square inch of pizza. All the pizzas are circular, and the measurement given on the menu board is the diameter of the pizza in inches. Use 3.14 as the approximate value of . Round the area to the nearest tenth. Round cost per square inch to the nearest thousandth.
What is the cost per square inch for each size of cheese pizza Which size is the best buy

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Q 342Q 342

Find the best buy for each type of pizza. The best buy is the lowest cost per square inch of pizza. All the pizzas are circular, and the measurement given on the menu board is the diameter of the pizza in inches. Use 3.14 as the approximate value of . Round the area to the nearest tenth. Round cost per square inch to the nearest thousandth.
What is the cost per square inch for each size of "The Works" pizza Which size is the best buy

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Q 343Q 343

Find the best buy for each type of pizza. The best buy is the lowest cost per square inch of pizza. All the pizzas are circular, and the measurement given on the menu board is the diameter of the pizza in inches. Use 3.14 as the approximate value of . Round the area to the nearest tenth. Round cost per square inch to the nearest thousandth.
You use a coupon for $2 off any small pizza. What is the cost per square inch for each size of pepperoni pizza Which size is the best buy

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Q 344Q 344

Draw a sketch of each of these shapes: (a) square, (b) rectangle, (c) parallelogram. On each sketch, indicate 90° angles and show which sides are the same length.

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Q 345Q 345

Draw a sketch of a circle and show the radius.
(b) Draw another circle and show the diameter.
(c) Describe the relationship between the radius and diameter of a circle.

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Q 347Q 347

In your own words, describe the difference between finding the perimeter of a shape and finding the area of the shape.

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Q 349Q 349

If you know the radius of a circle, which formula do you use to find its circumference
(b) If you know the diameter of a circle, which formula do you use to find its circumference
(c) If you know the diameter of a circle, what must you do before using the formula for finding the area

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Q 351Q 351

Some answers from a student's test paper are listed below. The number part of each answer is correct, but the units are not. Rewrite each answer with the correct units.
(a) A = 12 cm
(b) P = 6 ft 2
(c) C 28.5 m 2
(d) A = 307 in.

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Q 356Q 356

For each circle, find (a) the diameter or radius, (b) the circumference, and (c) the area.Use 3.14 as the approximate value of . Round answers to the nearest tenth.

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Q 357Q 357

For each circle, find (a) the diameter or radius, (b) the circumference, and (c) the area.Use 3.14 as the approximate value of . Round answers to the nearest tenth.

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Q 358Q 358

For each circle, find (a) the diameter or radius, (b) the circumference, and (c) the area.Use 3.14 as the approximate value of . Round answers to the nearest tenth.

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Q 359Q 359

Find the area of each shaded region. Note that Exercise 18 contains semicircles.Use 3.14 as the approximate value of . Round answers to the nearest tenth.

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Q 360Q 360

Find the area of each shaded region. Note that Exercise 18 contains semicircles.Use 3.14 as the approximate value of . Round answers to the nearest tenth.

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Q 361Q 361

Find the area of each shaded region. Note that Exercise 18 contains semicircles.Use 3.14 as the approximate value of . Round answers to the nearest tenth.

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Q 362Q 362

Solve each application problem. Use 3.14 as the approximate value of .Round answers to the nearest tenth.
The Mormons traveled west to Utah by covered wagon in 1847. They tied a rag to a wagon wheel to keep track of the distance they traveled. The radius of the wheel was 2.33 ft. How far did the rag travel each time the wheel made a complete revolution ( Source: Trail of Hope. ) Bonus question: How many wheel revolutions equaled one mile

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Q 363Q 363

Solve each application problem. Use 3.14 as the approximate value of .Round answers to the nearest tenth.
The rectangular front door for a new log home is 0.9 m wide and 2 m high. How much will it cost for weather strip material to go around all edges of the door, if weather strip costs $0.88 per meter

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Q 364Q 364

Look at the solid shape in Exercise below. Explain why this solid is not a cube. When you find the volume of this solid, what will be the units in your answer
Exercise

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Q 365Q 365

Give two examples of everyday objects that are rectangular solids; two objects that are cylinders; and two objects that are spheres.

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Q 366Q 366

Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6

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Q 367Q 367

Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6

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Q 368Q 368

Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
Hint: This solid is a sphere.
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6

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Q 369Q 369

Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
Hint: The units for this answer will be m 3.
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6

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Q 370Q 370

Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6

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Q 371Q 371Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6

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Q 372Q 372

Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
Hint: The units for this answer will be ft 3.
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6

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Q 373Q 373Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6

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Q 374Q 374Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
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Example 2
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Q 375Q 375Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
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Q 376Q 376Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
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Q 377Q 377Name each solid and find its volume. Use 3.14 as the approximate value of .Round your answers to the nearest tenth if necessary. See Examples 1-6.
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Example 4
Example 5
Example 6

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Q 378Q 378

Solve each application problem. Use 3.14 as the approximate value of . Round yourfinal answers to the nearest tenth if necessary.
A pencil box measures 3 in. by 8 in. by in. high. Find the volume of the box. ( Source: Faber Castell.)
Hint: A pencil box is a rectangular solid.

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Q 379Q 379

Solve each application problem. Use 3.14 as the approximate value of . Round yourfinal answers to the nearest tenth if necessary.
A train is being loaded with shipping crates. Each one is 6 m long, 3.4 m wide, and 2 m high. How much space will each crate take
Hint: A shipping crate is a rectangular solid.

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Q 380Q 380

Solve each application problem. Use 3.14 as the approximate value of . Round yourfinal answers to the nearest tenth if necessary.
An oil candle globe made of hand-blown glass has a diameter of 16.8 cm. What is the volume of the globe
Hint: A globe is another word for a sphere. First find the radius of the globe.

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Q 381Q 381

Solve each application problem. Use 3.14 as the approximate value of . Round yourfinal answers to the nearest tenth if necessary.
A metal sphere used as part of a fountain has a diameter of 6 ft. Find its volume.
Hint: First find the radius of the sphere.

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Q 382Q 382

Solve each application problem. Use 3.14 as the approximate value of . Round yourfinal answers to the nearest tenth if necessary.
One of the ancient stone pyramids in Egypt has a square base that measures 145 m on each side. The height is 93 m. What is the volume of the pyramid ( Source: The Columbia Encyclopedia. )

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Q 383Q 383

Solve each application problem. Use 3.14 as the approximate value of . Round yourfinal answers to the nearest tenth if necessary.
A cylindrical roll of hay in a farm field has a diameter of 4.5 ft and is 3.5 ft long. What is the volume of the hay roll

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Q 384Q 384

Solve each application problem. Use 3.14 as the approximate value of . Round yourfinal answers to the nearest tenth if necessary.
A city sewer pipe has a diameter of 5 ft and a length of 200 ft. Find the volume of the pipe.

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Q 385Q 385

Solve each application problem. Use 3.14 as the approximate value of . Round yourfinal answers to the nearest tenth if necessary.
An ice cream cone has a diameter of 2 in. and a height of 4 in. Find its volume.

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Q 386Q 386

Explain the two errors made by a student in finding the volume of a cylinder with a diameter of 7 cm and a height of 5 cm. Find the correct answer.

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Q 387Q 387

Compare the steps in finding the volume of a cylinder and a cone. How are they similar Suppose you know the volume of a cylinder. How can you find the volume of a cone with the same radius and height by doing just a one-step calculation

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Q 388Q 388

Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 389Q 389

Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 390Q 390

Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 391Q 391Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 392Q 392Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 393Q 393Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 394Q 394Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 395Q 395Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 396Q 396Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 397Q 397Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 398Q 398Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 399Q 399Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 400Q 400Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 401Q 401Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 402Q 402Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 403Q 403Find each square root. Starting with Exercise 5, use the square root key on a calculator.Round your answers to the nearest thousandth if necessary. See Example.
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Q 404Q 404

You know that = 5 and = 6. Using just that information (no calculator), describe how you could estimate . How would you estimate or Now check your estimates using a calculator.

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Q 405Q 405

Explain the relationship between squaring a number and finding the square root of a number. Include two examples to illustrate your explanation.

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Q 406Q 406

Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
Hint: The unknown length is the hypotenuse.
hypotenuse =
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Q 407Q 407

Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
Hint: The unknown length is the hypotenuse.
hypotenuse =
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Q 408Q 408

Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 409Q 409

Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 410Q 410

Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
Hint: The unknown length is a leg.
leg =
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Q 411Q 411

Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
Hint: The unknown length is a leg.
leg =
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Q 412Q 412

Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 413Q 413Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 414Q 414Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 415Q 415Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 416Q 416Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 417Q 417Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 418Q 418Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 419Q 419Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 420Q 420Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 421Q 421Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 422Q 422Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 423Q 423Find the unknown length in each right triangle. Use a calculator to find square roots.Round your answers to the nearest tenth if necessary. See Example.
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Q 424Q 424

Explain the two errors made by a student in solving this problem. Also find the correct answer. Round to the nearest tenth.

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Q 425Q 425

Explain the two errors made by a student in solving this problem. Also find the correct answer. Round to the nearest tenth.

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Q 426Q 426

Solve each application problem. Round your answers to the nearest tenth if necessary.See Example.
Find the length of this loading ramp.
Hint: The ramp is the hypotenuse in a right triangle.
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Q 427Q 427

Solve each application problem. Round your answers to the nearest tenth if necessary.See Example.
Find the unknown length in this window frame. Hint: The unknown length is the hypotenuse in a right triangle.
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Q 428Q 428

Solve each application problem. Round your answers to the nearest tenth if necessary.See Example.
How high is the airplane above the ground
Hint: The height of the plane is a leg in the right triangle.
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Q 429Q 429

Solve each application problem. Round your answers to the nearest tenth if necessary.See Example.
Find the height of this farm silo.
Hint: The height of the silo is a leg in the right triangle.
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Q 430Q 430

Solve each application problem. Round your answers to the nearest tenth if necessary.See Example.
How long is the diagonal brace on this rectangular gate
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Q 431Q 431

Solve each application problem. Round your answers to the nearest tenth if necessary.See Example.
Find the height of this rectangular television screen.
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Q 432Q 432

Solve each application problem. Round your answers to the nearest tenth if necessary.
To reach his ladylove, a knight placed a 12 ft ladder against the castle wall. If the base of the ladder is 3 ft from the building, how high on the castle will the top of the ladder reach Draw a sketch of the castle and ladder and solve the problem.

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Q 433Q 433

Solve each application problem. Round your answers to the nearest tenth if necessary.
William drove his car 15 miles north, then made a 90° right turn and drove 7 miles east. How far is he, in a straight line, from his starting point Draw a sketch to illustrate the problem and solve it.

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Q 434Q 434

Use your knowledge of the Pythagorean Theorem to work Exercises in order. Round answers to the nearest tenth.
A major league baseball diamond is a square shape measuring 90 ft on each side. If the catcher throws a ball from home plate to second base, how far is he throwing the ball ( Source: American League of Professional Baseball Clubs.)

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Q 435Q 435

Use your knowledge of the Pythagorean Theorem to work Exercises in order. Round answers to the nearest tenth.
A softball diamond is only 60 ft on each side. ( Source: Amateur Softball Association.)
(a) Draw a sketch of the softball diamond and label the bases and the lengths of the sides.
(b) How far is it to throw a ball from home plate to second base

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Q 436Q 436

Use your knowledge of the Pythagorean Theorem to work Exercises in order. Round answers to the nearest tenth.
Look back at your answer to Exercise. Explain how you can tell the distance from third base to first base without doing any further calculations.
Exercise
A major league baseball diamond is a square shape measuring 90 ft on each side. If the catcher throws a ball from home plate to second base, how far is he throwing the ball ( Source: American League of Professional Baseball Clubs.)

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