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A cube of side 4 cm is painted black on the pair of one opposite surfaces, blue on the pair of another opposite surfaces and red on remaining pair of opposite surfaces. The cube is now divided into smaller cubes of equal side of 1 cm each. How many smaller cubes have two surfaces painted?

A cube of side 4 cm is painted black on the pair of one opposite surfaces, blue on the pair of another opposite surfaces and red on remaining pair of opposite surfaces. The cube is now divided into smaller cubes of equal side of 1 cm each. How many smaller cubes have two surfaces painted? Correct Answer 24

A cube has 12 edges.

Each edge will have 4 smaller cubes since the edge is 4cm long and each smaller cube is 1 cm.

On each edge there will be 2 corner cubes which will have 3 sides painted since each corner is shared by 3 sides.

Other 2 cubes will have 2 sides painted.

So, each edge has 2 cubes with 2 sides painted.

There are 12 edges so, total 2*12=24 cubes with 2 sides painted.​

Hence, the correct answer is "24".

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