Discussion

Explanation:

When a cube is cut by certain number of cuts, maximum pieces are obtained when cut all made equally along the 3 axes.

Here we have total 9 cuts hence, to obtain maximum pieces we will make 3 cuts along each of the axis.

∴ We will get 4 pieces along each of the axis.

⇒ Total pieces obtained = 4 × 4 × 4 = 64.

Hence, 64.

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