Question

What is the maximum possible number of identical pieces a cube can be cut into by 5 cuts​

Answer 1

We will be able to cut up a cube into (maximally *) 8^5 = 2^15 = 32,768 smaller cubes of identical size. This is more than the intuitive cutting of 5 cuts in each of the three main directions, which gives only 6^3 = 216 identical cubes.

Answer 2

We will be able to cut up a cube into (maximally *) 8^5 = 2^15 = 32,768 smaller cubes of identical size. This is more than the intuitive cutting of 5 cuts in each of the three main directions, which gives only 6^3 = 216 identical cubes.

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