Question

The density of a cube is measured by measuring its mass and the length of its side. If the maximum errors in the measurement of mass and length are $4\%$ and $3\%$, respectively, then the maximum error in the measurement of the density is

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

Answer 1

Answer: (B)

$13\%$

Answer 2

Density $\left(\rho\right)=\frac{Mass}{Volume}=\frac{m}{l^{3}}$ $\frac{\Delta\rho}{\rho}\times100=\frac{\Delta m}{m}\times100+3 \frac{\Delta l}{l}\times100$ $=4\%+3\times3\%=13\%$