990 pieces
Explanation:
Here, we have 990 smaller pieces,
∴ Minimum cuts would be obtained when we have pieces distributed as equally as possible along all 3 axes.
∴ 990 = 9 × 10 × 11
⇒ 9, 10, and 11 piece along the three axes.
⇒ 8, 9 and 10 cuts along the three axes.
∴ 27 cuts total.
Hence, 27.
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