How many small cubes have no faces coloured ?

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Solution

The correct option is B 8
There are 64 small cubes.
Hence one side of the big cube $= \sqrt[3]{64} = 4 c m$ .
Number of small cubes having only one faces coloured = ${(x - 2)}^{3}$
Here, x = side of big cube / side of small cube
x = 4/1
x = 4
Required number = ${(4 - 2)}^{3}$
= 8

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