Chapter 11.3, Problem 11E

A square is cut out of each corner of a rectangular sheet of aluminum that is 40 cm by 60 cm. (See Illustration 4.) The sides are folded up to form a rectangular container with no top. The area of the bottom of the container is 1500 ${\text{cm}}^{\text{2}}$. a. What are the dimensions of each cut-out square? b. Find the volume of the container. ( $V=lwh$)

ILLUSTRATION 4