The lengths of sides of a cuboid are a, 2a and 3a. If the relative percentage error in the measurement of a is `1%`, then what is the relative percentage error in the measurement of the volume of the cuboid.

Answer

3

Explanation

`V = a xx 2 a xx 3 a`
`implies V = 6a ^(3)`
`implies (Delta V)/(V) = 3 ( Delta a )/(a) = 3 %`