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A Closed Box Is to Be Constructed from a Rectangular

Question 63

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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 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) 5.314
B) 21.000
C) 4.222
D) 16.686
E) 3.707

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