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V A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 5 inches by 8 inches.

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V A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 5 inches by 8 inches. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the 8-inch sides. (See Figure 1.) The remaining cardboard will be folded to form the box and its lid. (See Figure 2.) Letting x represent the side-lengths (in inches) of the squares, use the ALEKS graphing calculator to find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places. X 5 X Figure 1 Figure 2 Value of x that maximizes volume: in X 5 ? Maximum volume: [ in'

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