What is the minimum number of cuts that could have been made?
Explanation:
When a certain number of pieces are obtained by cutting a cube:
We would have maximum cuts when all the cuts are made along the same axis, and
Minimum cuts when cuts are made as equally as possible along the three axes.
Here, we have 8 smaller pieces,
∴ minimum cuts would be obtained when we have equal number of pieces along all 3 axes.
∴ 8 = 2 × 2 × 2.
⇒ 2 pieces along each axis.
⇒ 1 cut along each axis
∴ 3 cuts total.
Hence, 3.
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