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A big cube painted with yellow colour in all sides. if you
cut it into 1000 cubes with same dimension. than how many
cubes were without painted anyside. explain it?
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Answer Posted / malem
If suppose we have a cube which is painted and cut into 27 pieces we have 1 pieces in the core which is not painted at all.(we have 9 pieces on each face)
Similarly when we have 16 pieces cut from a big cube by analyzing we have 8 pieces in the core which is not painted.
when we take a cube which is painted and cut into 8 pieces a simple example we have 0 pieces in the core.
so by generalizing we have a formula n3-(n-2)3
we take n=2; 8-0=8 painted face.
n=3 we have 27-1=26; 26 painted cubes.
n=4 we have 64-8=56;
thus for n=10,
1000-512=488
| Is This Answer Correct ? | 2 Yes | 5 No |
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