Question

Find the approximate error in the volume of a cube with edge $x$ cm, when the edge is increased by $2\%$

• A. $4\%$
• B. $2\%$
• C. $6\%$
• D. $8\%$

Answer 1

The correct option is A $4\%$

in a mutiplication while multiplying we have to add the percentage errors

so if the edge of the cube is $x$cm then the volume will be $x^3$

but for errors we have to add the percentage

therefore the total error percentage now becomes $6\%$

therefore the error is increased by $4\%$