A closed box is to be constructed from a rectangular sheet of cardboard that measures 25 inches by 12 inches. The box is made by cutting rectangles that measure x inches by 2x 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)2.296
B)9.186
C)1.814
D)7.260
E)1.614

Question

A closed box is to be constructed from a rectangular sheet of cardboard that measures 25 inches by 12 inches. The box is made by cutting rectangles that measure x inches by 2x 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)2.296 
B)9.186 
C)1.814 
D)7.260 
E)1.614

Quizplus · Accepted Answer

The Answer of A closed box is to be constructed from a rectangular sheet of cardboard that measures 25 inches by 12 inches. The box is made by cutting rectangles that measure x inches by 2x 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)2.296 
B)9.186 
C)1.814 
D)7.260 
E)1.614

A Closed Box Is to Be Constructed from a Rectangular