AHSME 1950 Problem 21

The volume of a rectangular solid each of whose side, front, and bottom faces are $12\text{ in}^{2}$, $8\text{ in}^{2}$, and $6\text{ in}^{2}$ respectively is: $\textbf{(A)}\ 576\text{ in}^{3} \textbf{(B)}\ 24\text{ in}^{3} \textbf{(C)}\ 9\text{ in}^{3} \textbf{(D)}\ 104\text{ in}^{3} \textbf{(E)}\ \text{None of these}$