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 10 cuts hence, to obtain maximum pieces we will make 3 cuts along 2 axes and 4 cut along the 3rd the axis.

∴ We will get 4 pieces along two axes and 5 pieces along the 3rd axis.

⇒ Total pieces obtained = 4 × 4 × 5 = 80.

Hence, 80.

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