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Question

Study the following case and answer the questions based on it.

A cube with dimensions 5x5x5 is painted on all faces using a single colour. The cube is then cut into smaller sized cubes with dimensions 1x1x1.

Q. How many cubes are there where none of the faces are painted?

A
30
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B
64
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C
8
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D
27
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E
25
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Solution

The correct option is D 27
N = number of cubes in a row or column
Her n = 5
Number of cubes where none of the faces are painted = (n2)3
=33
=27

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