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The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of density will be
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- 7%
- 9%
- 12%
- 13%
Correct Option: D
| Density = | ||
| Volume |
| ρ = | ||
| L3 |
| ∴ | = | - 3 | ||||
| ρ | M | L |
% error in density = % error in Mass + 3 (% error in length)
= 4 + 3(3) = 13%
