Q5. What is the least possible number of cuts required to cut a cube into 64 identical pieces?
A. 8
B. 9
C. 12
D. 16
Answer: B. 9
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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