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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.

90 votes

cube + cube + cube = cube

8 is the least. You can't have a piece of length 6, thus no two corners of the 6x6x6 cube can be part of the same piece, the cube has 8 corners, we need then a minimum of 8 pieces.
Noam D. Elkies's user avatar