The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively `1.5%` and `1%`, the maximum error in determining the density is:

Options

A. `2.5%`
B. `3.5%`
C. `4.5%`
D. `6%`

Answer

C

Explanation

`"Density (d)"=("Mass (M)")/("Volume (V)")=(M)/(L^(3))`
`therefore" Error in density, "(Deltad)/(d)=(DeltaM)/(M)+(3DeltaL)/(L)=1.5%+3(1%)=4.5%`