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 23 cuts hence, to obtain maximum pieces we will make 8 cuts along 2 axes and 7 cut along the 3rd the axis.

∴ We will get 9 pieces along two axes and 8 pieces along the 3rd axis.

⇒ Total pieces obtained = 9 × 9 × 8 = 648.

Hence, 648.

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