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A cube of 4 cm is painted on all its sides. If it is sliced in 1 cu cm cubes, then number of such cubes that will have exactly two of their faces painted is

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answer is A.

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Detailed Solution

It is given that, cube = 4cm.
Let the painted cube be cut in n cubes.
Then cubes with exactly one painted face = 6 x (n - 2)².
Cubes with exactly two painted faces = 12x (n - 2).
Exactly 2 faces painted = 12

×

(n-2)

Exactly 2 faces painted = 12 × (4-2) ⇒ 12 × (2) ⇒ 24

Thus, cubes with two painted faces = 24.
Therefore, the correct option is 1.

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