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The error in measuring the side of a cub...

The error in measuring the side of a cube is `+- 1%`. The error in the calculation of the volume of the cube will be about

A

`pm 0.001 %`

B

`pm 1%`

C

`pm 6%`

D

`pm 3%`

Text Solution

Verified by Experts

The correct Answer is:
D
Volume of cube V = `("side")^(3)`
`therefore V = a^(3)`. Take log and differentiate.
`(Delta V)/(V) xx 100 =3 (Delta a)/(a) xx 100 = 3(pm 1%) = pm 3%`
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