Question

If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is:

A. 2a%

B. \(\frac{a}{2}\%\)

C. 3a%

D. None of these

Answer 1

Correct answer is A.

Given that

% Error in measuring the edge of a cube [(ΔL/L)×100] is = a (if L is edge of the cube)

We have to find out (ΔA/A)×100 = ? (IF let the surface of the cube is A)

By the formula of approximation of derivation we get,