The density of a cube is measured by measuring its mass and the length of its sides. If the maximum errors in the measurement of mass and length are `3% and 2%`, respectively, then find the maximum error in the measurement of the density of cube.

Explanation

Here `(DeltaM)/(M) xx 100 = 3% , (DeltaL)/(L) xx 100 = 2%`
Density `d = M/V = ("Mass(M)")/("Length"(L)^3) = (M)/(L^3)`
Maximum error in the measumrent of density
`(Delta d)/(d) xx 100 = (Delta M)/(M) xx 100 + 3 (Delta L)/(L) xx 100`
`= 3 + (3 xx 2) = (3 + 6) = 9%`
`:.` Maximum error in the measurement of density = 9%.