A coloured cube is cut into 64 smaller tcubes. how many cubes have colour on any of their faces? try to understand .
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Answer:
56 cubes
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
No. Of painted cubes = 64 - 8 = 56 cubes
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