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. `6%`
B. `9%`
C. `12%`
D. 18

Answer

B

Explanation

Here `(DeltaM)/(M)xx100=3%, (DeltaL)/(L)xx100=2%`
`"Density "d=(M)/(V)=(M)/(L^(3))`
Maximum error in the measurement of density
`(Deltad)/(d)xx100=(DeltaM)/(M)xx100+3(DeltaL)/(L)xx100`
`=3+(3xx2)=3+6=9%`
`therefore" Maximum error in the measurement of density "=9%`