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 1 . 5 % and 1 % , respec

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 1 . 5 % and 1 % , respectively, the maximum error in determining the density is:

TestHub · Accepted Answer

ρ = M L 3 ⇒ Δ ρ ρ = Δ M M + 3 Δ L L ⇒ Δ ρ ρ × 100 = 1.5 + 3 × 1 % relative error, = 4.5 %

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