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.

Options

A. 0.09
B. 0.13
C. 0.12
D. 0.07

Answer

B

Explanation

Density `rho=(m)/(v)=(m)/(a^(3))rArr(Delta rho)/(rho)=(Deltam)/(m)+3(Delta a)/(a)`.