A closed box is to be constructed from a rectangular sheet of cardboard that measures 21 inches by 10 inches. The box is made by cutting rectangles that measure x inches by 2 x inches from two of the corners and by cutting two squares that measure x inches by x inches from the top and from the bottom of the rectangle, as shown in the following figure. Use a graphing calculator to determine what value of x (to the nearest thousandth of an inch)will produce a box with maximum volume?
A)1.918
B)7.709
C)1.352
D)1.513
E)6.082

Question

A closed box is to be constructed from a rectangular sheet of cardboard that measures 21 inches by 10 inches. The box is made by cutting rectangles that measure x inches by 2 x inches from two of the corners and by cutting two squares that measure x inches by x inches from the top and from the bottom of the rectangle, as shown in the following figure. Use a graphing calculator to determine what value of x (to the nearest thousandth of an inch)will produce a box with maximum volume? 
A)1.918 
B)7.709 
C)1.352 
D)1.513 
E)6.082

Quizplus · Accepted Answer

The Answer of A closed box is to be constructed from a rectangular sheet of cardboard that measures 21 inches by 10 inches. The box is made by cutting rectangles that measure x inches by 2 x inches from two of the corners and by cutting two squares that measure x inches by x inches from the top and from the bottom of the rectangle, as shown in the following figure. Use a graphing calculator to determine what value of x (to the nearest thousandth of an inch)will produce a box with maximum volume? 
A)1.918 
B)7.709 
C)1.352 
D)1.513 
E)6.082

A Closed Box Is to Be Constructed from a Rectangular