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Q.

All the opposite faces of a big cube are coloured with red, black and green colours. After that is cut into 64 small equal cubes.

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How many small cubes are there whose no faces are coloured?

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a

8

b

16

c

0

d

4

answer is C.

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Detailed Solution

 Number of small cubes having no face coloured = (x - 2)3 = (4 - 2)3 = 8

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