Rubik Madness

Discrete Mathematics Level 1

If you take a \(3 \times 3 \times 3\) Rubik cube and break it up into the \( 3^3 \) cubes, how many cubes would have stickers on exactly \(2\) faces?

Bonus question: Can you generalize this for a \(N \times N \times N\) Rubik cube?

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