A cube is painted with blue color on all its six faces. It is then cut into 27 small equal cubes. How many small cubes have no face painted?

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Answer: B. 1

A cube cut into 27 equal parts is 3 x 3 x 3. Only the single centre cube touches no outer face. The formula (n - 2)^3 = (3 - 2)^3 = 1 confirms it.

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A cube is painted with blue color on all its six faces. It is then cut into 27 small equal cubes. How many small cubes have no face painted?

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