A cube painted green on all faces is cut into 27 small cubes of equal size. How many small cubes are painted on one face only?

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Accepted Answer

The cube is divided into $$ n^3 = 27 $$, which implies $$ n = 3 $$.

To find the number of small cubes painted on **one face only**, use the formula:  
$$
	ext{Number of cubes painted on one face only} = (n-2)^2 	imes 6
$$  
Substituting $$ n = 3 $$:  
$$
	ext{Number of cubes} = (3-2)^2 	imes 6 = 1^2 	imes 6 = 6
$$

Thus, there are **6 small cubes painted on one face only**, and the correct answer is **(c) 6**.

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Answer

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