after all faces of a cube are painted the cube is cut into 64 small cubes of equal dimensions how many small cubes have no face painted, one face painted two face painted three faces painted.
Answers
Answer:
8
Step-by-step explanation:
A cube is painted blue on all faces and it is cut into 64 small cubes of equal size. How many cubes are not painted?
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 .
Answer:
All the cubes are painted, so obviously all the cut pieces will be painted, so not a single one will be unpainted at the back.