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Question

How many cubes have only one of their faces painted ?

A
4
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B
8
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C
24
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D
16
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E
None
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Solution

The correct option is C 24
There are 64 small cubes.
Hence, one side of the big cube = 364=4
Number of cubes having one face colored = (n2)2×faces
Here, n=sideofbigsideofsmall
n=41=4
Thus, required number = (42)2×6=24

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