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 length are 4% and 3% respectively, the maximum error in the measurement of density will be

Options

A. `7%`
B. `9%`
C. `12%`
D. `13%`

Answer

D

Explanation

As density `rho = (m)/(V) = (m)/(I^(3))`
`:. (Delta rho)/(rho) xx 100 = +- ((Deltam)/(m) +3 (Deltal)/(l)) xx 100%`
`= +- (4+3 xx 3) = +- 13%`