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

Answer

A

Explanation

Density d of the material can be written as mass m divided by volume V.
`d=(m)/(V)=(m)/(l^3)`
`implies (triangled)/(d)xx100=(trianglem)/(m)xx100+(3triangle l)/(l)xx100`
% error of density `=1.5+3xx1=4.5%`