Directions: Answer the question based on the series given below.
A cube is painted green on all sides. It is then cut into identical cubes of side 1 cm each; such that the number of cubes with exactly one face painted is thrice the number of cubes with exactly two faces painted. Both these values are finite.
How many of the smaller cubes have exactly three faces painted green?
64
16
None of these
Cannot be determined
When a larger cube is cut into smaller and identical cubes, there are always eight cubes (at the vertices) with exactly three faces painted.
Hence, you need not know the number of smaller cubes.
Hence, option c.
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