O GEOMETRY Using a graphing calculator to solve a word problem involving a... 1/5 A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 4 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. 7 X X X X Y X 4 Y Figure 1 Figure 2 Value of x that maximizes volume: [in X 5 Maximum volume: 3 O