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If each side of a cube is increased by 10% the volume of the cube will increase by
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- 30%
- 10%
- 33.1%
- 25%
Correct Option: C
Single equivalent increase for 10% and 10%
= | ![]() | 10 + 10 + | ![]() | % = 21% | |
100 |
Again, single equivalent increase for 21% and 10%
= | ![]() | 21 + 10 + | ![]() | % | |
100 |
= 31 + 2.1 = 33.1%
Aliter : Using Rule 14,
Increase % in volume
= | ![]() | 3 × 10 + | + | ![]() | % | 100 | (100)2 |
= | ![]() | 30 + 3 + | ![]() | % = 33.1% | |
100 |
Note : Volume of cube = (Edge)3
Hence, formula | ![]() | x + y + | ![]() | % should be used twice. | |
100 |