343 cubes are obtained?
Explanation:
Here, we have 73 smaller cubes.
Since the smaller pieces are also cubes, this is possible only when equal number of pieces are obtained along each axis.
∴ 343 = 7 × 7 × 7
⇒ 7, 7, and 7 pieces along the three axes.
⇒ 6, 6 and 6 cuts along the three axes.
∴ 18 cuts total.
Hence, 18.
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