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Prism

If all the fa...

Question

If all the faces of a cube, whose edge is 15 cm, is coloured black, and then it is cut into small cubes, each of edge 3 cm, then how many pieces will …

Q. … have 1 face coloured?

A

64

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B

18

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C

36

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D

54

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Solution

The correct option is D 54
$N o . o f p i e c e s o n a n e d g e = n = 15 / 3 = 5$
$1 - f a c e c o l o u r e d = 6 (n - 2)^{2} = 6 (5 - 2)^{2} = 6 \times 9 = 54.$

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