A cube of edge 6 cm is painted on all sides and then cut

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A cube of edge 6 cm is painted on all sides and then cut into unit cubes. The number of unit cubes with no sides painted is

1. 0
2. 64
3. 186
4. 108

Correct Option: B

Volume of bigger cube = 6 × 6 × 6 = 216 cu. cm.
Volume of unit cube = 1 × 1 × 1 = 1 cu. cm
Number of uncoloured cubes = 4 × 4 × 4 = 64
[because edge of uncoloured cube = 4 cm]