2002 AMC 12B Problem 7

The product of three consecutive positive integers is 8 times their sum. What is the sum of their squares?

\mathrm{(A)}\ 50 \qquad\mathrm{(B)}\ 77 \qquad\mathrm{(C)}\ 110 \qquad\mathrm{(D)}\ 149 \qquad\mathrm{(E)}\ 194

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