Challenge Problem 3/4-3/8

This Week's Extra Credit Challenge Problem. Remember, answers due by end of the day on Friday.

A cube, painted green on the outside and measuring 15 centimeters on each edge, is cut into congruent cubes measuring 5 centimeters on each edge. How many of the small cubes will have 0 green sides? 1 green side? 2 green sides? 3 green sides?