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Errors
Question

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 lengths are 3% and 2% respectively, the maximum error in the measurement of density would be

Moderate
Solution

Maximum error in mass Δmm=3%=3100and maximum error in length Δll=2%=2100Maximum error in the measurement of density

Δρρ=Δmm+3×Δll=3100+3×2100=3100+6100=9100=9%

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