The figure above represents a square sheet of cardboard with side length 40 inches. The sheet is cut and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length xx and two rectangular regions are discarded from the cardboard. Which of the following statements is true? (The volume V of a rectangular box is given by V=lwh).
A. When x=20x=20 inches, the box has a minimum possible volume.
B. When x=20x=20 inches, the box has a maximum possible volume.
C. When x=203x=203 inches, the box has a minimum possible volume.
D. When x=203x=203 inches, the box has a maximum possible volume.