What is the maximum number of identical pieces a cube can be cut into

1.	What is the maximum number of identical pieces a cube can be cut into by 31 cuts?Select one:a. 1530b. 1552c. 1362d. 1452
Answer» Answer: 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.

What is the maximum number of identical pieces a cube can be cut into by 31 cuts?Select one:a. 1530b. 1552c. 1362d. 1452

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Answer:

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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What is the maximum number of identical pieces a cube can be cut into by 31 cuts?Select one:a. 1530b. 1552c. 1362d. 1452

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