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In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the measurement of density is:
- 0.01 kg/m³
- 0.10 kg/m³
- 0.31 kg/m³
- 0.07 kg/m³
Correct answer: 0.31 kg/m³
Solution
The density of a cube is calculated using the formula density = mass/volume. Given the uncertainties in both mass and edge length, the propagation of errors leads to a combined relative error that results in a total error of 0.31 kg/m³ for the density measurement.
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