A closed box is to be constructed from a rectangular sheet of cardboard that measures 57 inches by 28 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) 5.314
B) 21.000
C) 4.222
D) 16.686
E) 3.707

Question

A closed box is to be constructed from a rectangular sheet of cardboard that measures 57 inches by 28 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) 5.314 
B) 21.000 
C) 4.222 
D) 16.686 
E) 3.707

Quizplus · Accepted Answer

The Answer of A closed box is to be constructed from a rectangular sheet of cardboard that measures 57 inches by 28 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) 5.314 
B) 21.000 
C) 4.222 
D) 16.686 
E) 3.707

A Closed Box Is to Be Constructed from a Rectangular