14. A cube is painted black before being sliced through equally 2 times in all directions. Find the number of cubes with none of their faces painted black, with 1 of their faces painted black, with 2 of their faces painted black and with 3 of their faces painted black. please aanswer fastly
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Answer:
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Answer:
Solution
24
The volume of a cube of side 4 cm
=
4
×
4
×
4
=
64
c
m
3
. When It is sliced into
1
c
m
3
cubes, we will get 64 small cubes.
In each side of the larger cube, the smaller cubes In the edges will have more than one face painted.
The cubes which are situated at the corners of the big cube, have three faces painted. So, to each edge two small cubes are left which have two faces painted. As. the total number of edges in a cube are 12.
Hence, the number of small cubes with two faces painted
=
12
×
2
=
24