[From XAT 2021] 3D Geometry - The six faces of a wooden cube of side 6 cm are labeled A, B, C, D, E

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The six faces of a wooden cube of side 6 cm are labeled A, B, C, D, E and F respectively. Three of these faces A, B, and C are each adjacent to the other two, and are painted red. The other three faces are not painted. Then, the wooden cube is neatly cut into 216 little cubes of equal size. How many of the little cubes have no sides painted?

A) 125
B) 135
C) 91
D) 108
E) 100

This question was asked in 2021 XAT (Xavier Aptitude Test) conducted by XLRI - Xavier School of Management.

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