A cube of 12cm sides is painted red on each side. It is cut into cubes of 3cm side each. How many of the smaller cubes do not have any side painted red?

A. 8
B. 12
C. 16
D. 0

1 answer

The large cube is cut into 4x4x4 cubelets. The outside faces on both sides have paint, so only the 2x2x2 inside cubelets have no red paint.