CSAT 2024 Solutions - What is the least possible number of cuts required to cut a cube into 64 identical pieces?

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A. 8
B. 9
C. 12
D. 16

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Answer: B. 9

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Explanation:

• Understanding the Divisions Needed:some text
  • To get 64 identical pieces, we need to divide the cube into 4 × 4 × 4 = 64 sections.
  • This means the cube must be divided into 4 equal sections along each of the 3 dimensions.

• Minimum Cuts Calculation:some text
  • For each dimension, 3 cuts are required to divide the cube into 4 sections.
  • Since there are 3 dimensions (length, width, and height), we need 3 cuts per dimension.
• 3 cuts × 3 dimensions = 9 cuts total.

Therefore, the least possible number of cuts required to cut the cube into 64 identical pieces is 9.

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