A solid cube of 3cm side, painted on all its faces, is cut up into small cubes of 1cm side. How many of the small cubes will have exactly two painted faces?

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Anonymous

Asked: January 21, 20232023-01-21T12:38:02+05:30
2023-01-21T12:38:02+05:30In: CSAT

0%(a) 4 ( 0 voters )

0%(b) 6 ( 0 voters )

33.33%(c) 8 ( 1 voter )

66.67%(d) 12 ( 2 voters )

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Ans (d) 12

There are 12 faces in the large cube of 3cm. If we cut the cube into small cubes of 1cm, then each small cube lying at the middle of each edge of the large cube has exactly two painted faces.

Hence, there are precisely 12 small cubes which have two painted faces.