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Cutting a Cube Into 27

can you do it in fewer than 6 cuts?

A wooden cube can be cut into 27 small cubes, 3 by 3 by 3, with 6 straight cuts: 2 in each direction. If you are allowed to move the pieces around between cuts, can you do it with fewer than 6?

Source: A classic puzzle, retold by INFINITE SUM and fact-checked against our curated notes

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