2010 Pascal Problem 16

Four identical squares are cut from the corners of the rectangular sheet of cardboard shown. This sheet is then folded along the dotted lines and taped to make a box with an open top. The base of the box measures 5 cm by 4 cm. The volume of the box is 60 cm^3. What was the area of the original sheet of cardboard?

\textbf{(A)}\ 56 \text{ cm}^2\quad \textbf{(B)}\ 110 \text{ cm}^2\quad \textbf{(C)}\ 156 \text{ cm}^2\quad \textbf{(D)}\ 180 \text{ cm}^2\quad \textbf{(E)}\ 210 \text{ cm}^2

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.