A Closed Box Is to Be Constructed from a Rectangular

question 66

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