CAYLEY 2000 Problem 21

A wooden rectangular prism has dimensions 4 by 5 by 6. This solid is painted green and then cut into 1 by 1 by 1 cubes. The ratio of the number of cubes with exactly two green faces to the number of cubes with three green faces is

Answer Choices
A. 9:2
B. 9:4
C. 6:1
D. 3:1
E. 5:2