A Closed Box Is to Be Constructed from a Rectangular

Multiple Choice

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