please show work;

A manufacturer cuts squares from the corners of a rectangular piece of sheet metal that measures 2 inches by 9 inches (see Figure 1). The manufacturer then folds the metal upward to make an open-topped box (see Figure 2]. Letting .1: represent the sidelengths (in inches] of the squares, use the ALEKS graphing calculator to nd the value ofx that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal plaoes. Figure 2 Value of): that maximizes volume : in X b O ' Maximum volume : in