2015 Cayley Problem 3

The base of a rectangular box measures 2 cm by 5 cm. The volume of the box is 30 cm^3. What is the height of the box?

\textbf{(A)}\ 1 \text{ cm}\quad \textbf{(B)}\ 2 \text{ cm}\quad \textbf{(C)}\ 3 \text{ cm}\quad \textbf{(D)}\ 4 \text{ cm}\quad \textbf{(E)}\ 5 \text{ cm}

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 Cayley contests here.