A manufacturer cuts sauares from the corners of a rectangular piece of sheet metal that measures 4 inches by 5 inches. (See Figure 1.) The manufacturer then folds the metal upward to make an open-topped box. (See Figure 2.) Letting r 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.