AMC 10B 2015 Problem 25

A rectangular box measures a \times b \times c, where a, b, and c are integers and 1 \leq a \leq b \leq c. The volume and the surface area of the box are numerically equal. How many ordered triples (a, b, c) are possible?

Answer Choices
A. 4
B. 10
C. 12
D. 21
E. 26