Question

The error in the measurement of side of cube is 2%. The percentage error in the calculation of volume of cube is 

(A) 1%

(B) 2%

(C) 3%

(D) 6%

Answer 1

Correct option is (D) 6%

Given, error in the measurement of side of cube = 2%

As, we know that, volume of cube = (side)³ = (a)³

Percentage error in volume, 

\(\frac{\Delta V}{V} \times 100 = 3 \times \left(\frac{\Delta a}a \times 100\right)\)

= 3 x 2

= 6 %