A cube is divided into 125 pieces.. then four
columns are removed then
coloured all side black..
i) how many 0 side painted cubes?
ii) how many 1 side painted cubes?
iii) how many 2 side painted cubes?
iV) how many 3 side painted cubes?
V) how many 4 side painted cubes?
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Answer Posted / santosh k
If a cube is divided into 125 pieces then u can imagine it
as cut into 5 slices horizontally and vertically resulting
in 5x(5x5) pieces. Now if 4 columns are removed than:
5x(5x5) - 4x(5x5) = 5x5 = 25 pieces i.e 1 column.
Something like:
___ ___ ___ ___ ___
|_4_|_3_|_3_|_3_|_4_|
|_3_|_2_|_2_|_2_|_3_|
|_3_|_2_|_2_|_2_|_3_|
|_3_|_2_|_2_|_2_|_3_|
|_4_|_3_|_3_|_3_|_4_|
The corner 4 cubes are painted 4 sides.
Middle 3 cubes are painted 3 side i.e 3x4 = 12 cubes
Middle 3 rows excluding sides are painted 2 side = 3x3 = 9 cubes
Summary:
0 side -> 0 cubes
1 side -> 0 cubes
2 side -> 9 cubes
3 side -> 12 cubes
4 side -> 4 cubes
| Is This Answer Correct ? | 13 Yes | 2 No |
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