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) xx100=3% (DeltaL)/(L) xx100= 2%`
Density ` d = (M)/(V) = ("Mass"(M))/("Length"(L)^(3))=(M)/(L^(3))`
Maximum error in the measurement of density
`(Deltad)/(d) xx100 = (DeltaM)/(M)xx100+3 (DeltaL)/(L) xx100`
`3+(3xx2) = 3+6=9% `
`:.` Maximum error in the measurement of density = 9%