512 pieces
Explanation:
Here, we have 512 smaller pieces,
∴ Minimum cuts would be obtained when we have equal number of pieces along all 3 axes.
∴ 512 = 8 × 8 × 8
⇒ 8 pieces along each axis.
⇒ 7 cuts along each axis
∴ 21 cuts total.
Hence, 21.
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