Question

The six faces of a cube are painted in a manner that no two adjacent faces have the same colour. The three colour used in the painting are red, blue and green. The cube is then cut into 64 equal cubical parts. Answer the following question.How many cubes in all have three sides painted?
Options:
(a) 2 4
(b) 16
(c) 10
(d) 8​

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Answer 1

Answer:

All the corner cubes are three coloured painted.Hence there are 8 such cubes.

Step-by-step explanation:

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Answer 2

Answer : 8

Step-by-step explanation:

Let this be the original cube .

It is cut into 64 small cubes ( demarcated by lines ) .

Let's go layer wise ( top to bottom )

There are 4 layers .

1st layer :-

All the cubes are painted .

No. Of unpainted cubes = 0

2nd layer :-

Only side cubes are painted , internal 4 cubes ( middle most ) are not painted .

No. Of unpainted cubes = 4

3rd layer:-

Same as layer 2

No. Of unpainted cubes= 4

4th layer:-

Same as layer 1 .

No unpainted cubes.

Total unpainted cubes= 8

Hope this answer helps .