Abox with a hinged lid is to be made out of a rectangular piece of cardboard that measures 4 inches by 10 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 10-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.