Review

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 inches by 7 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 7-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. Figure 1 Figure 2 value of x that maximizes volume: X Maximum volume: 1 in\fSolve for X. 4 In (x -5) =8 Do not round any intermediate computations, and round your answer to the nearest hundredth. X