How many cubes do not have any of their faces coloured ?
A
0
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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 B 8 There are 64 small cubes. Hence, one side of the big cube = 3√64=4 Number of cubes having no face colored = (n−2)3 Here, n=sideofbigsideofsmall n=41=4 Thus, required number = (4−2)3=8