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Question
A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many 1 cubic centimetre cubes will have exactly one of their faces painted?
Options
27
42
54
142
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Solution
54
Explanation:
Given, a cube of side 5 cm is painted on all its faces and is sliced into 1 cm3 cubes.
Then, from figure, it is clear, it is clear that there are 9 cubes available on face.
Since, there are six faces available.
Hence, total number of smaller cubes = 6 × 9 = 54
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