You have a cube painted on all sides. If you cut it into smaller cubes of equal size, how many of the smaller cubes will have paint on exactly two sides?

Category: Brain · Difficulty: hard

Hint: Consider the corners and edges of the cube.

Answer

12

Explanation

For a cube cut into smaller cubes, the cubes with paint on exactly two sides lie on the edges but not at the corners; each edge contributes 2 such cubes, totaling 12 for 6 edges.

This is a hard brain riddle — a tricky one that takes a little thought. The answer is 12.

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