Question

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:

• A. $7$%
• B. $9$%
• C. $12$%
• D. $13$%

Answer 1

The correct option is D $13$%

Let $M,Land\rho$ be mass, length and density of cube
So, $\rho =\frac{M}{L^3}$
Percentage error in density $=\frac{\Delta \rho }{\rho }\times 100=\frac{\Delta M}{M}\times 100+3\frac{\Delta L}{L}\times 100=4+3\left(3\right)=13$%