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Question:

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%

3.5

2.5

4.5

6

Solution:

Density ρ=m/V=m/l³
Maximum percentage error in density Δρ/ρ × 100 = Δm/m × 100 + 3Δl/l × 100
⇒ Δρ/ρ × 100 = 1.5 + 3 × 1 = 4.5