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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 have only one painted face?

A
45
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B
54
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C
60
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D
64
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E
None of these
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Solution

The correct option is B 54
n = number of cubes in a row or column
number of cubes with just one face painted =6×(n2)2
= 6 x 9
= 54

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