AHSME 1973 Problem 2

One thousand unit cubes are fastened together to form a large cube with edge length 10 units; this is painted and then separated into the original cubes. The number of these unit cubes which have at least one face painted is $\textbf{(A)}\ 600 \textbf{(B)}\ 520 \textbf{(C)}\ 488 \textbf{(D)}\ 480 \textbf{(E)}\ 400$