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The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5 % and 1%, the maximum error in determining the density is -
- 2.5 %
- 3.5 %
- 4.5 %
- 6 %
Correct answer: 4.5 %
Solution
Density = mass/length^3, so relative error = (Δm/m) + 3(ΔL/L) = 1.5% + 3(1%) = 4.5%.
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