A cube is painted blue on all of its faces and then cut into $216$ small cubes of equal size. Then thetotal number of small cubes which have no face painted is

80

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None

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64

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48

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Solution

The correct option is C $64$
$(n - 2)^{3}$
$n = 6 \Rightarrow (6 - 2)^{3} \Rightarrow (4)^{3} \Rightarrow 64$

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