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

`"Density"=("Mass")/("Volume")`
`rho=(M)/(L^(3))," "(Delta rho)/(rho)=(DeltaM)/(M)+3(DeltaL)/(L)`
`"% error in density "="% error in Mass "+3("% error in length")`
`=4+3(3)=13%`