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Puzzle: Imagine a 3×3x3 wooden cube. How many cuts do we need to break it into twenty-seven 1×1x1 cubes? A cut may go through multiple wooden pieces.
Source: Do not remember.
Solution: The central 1×1x1 cube has six faces. No cut can reveal two or more of these faces! So six cuts are necessary, and sufficient.
This one is really easy.
if 10 cuts are made on a cube, how many identical pieces are obtained?
How to solve such puzzles ?