1951 AHSME Problem 6

The bottom, side, and front areas of a rectangular box are known. The product of these areas is equal to:

\textbf{(A)}\ \text{the volume of the box} \qquad\textbf{(B)}\ \text{the square root of the volume} \qquad\textbf{(C)}\ \text{twice the volume} \textbf{(D)}\ \text{the square of the volume} \qquad\textbf{(E)}\ \text{the cube of the volume}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.