Question

The percentage erros in mass of a
cube is 1% and percentage error in
volume is 2%. Find its percentage
error in density​

Answer 1

Answer:

See below.

Explanation:

We know,

$density = \frac{mass}{volume}$

While dividing two quantities with error, the error in the resulting quantity is the sum of relative errors in the individual quantities. Percentage errors are relative errors multiplied by 100. Therefore, we can add them directly.

Then,

$\frac{ \Delta p}{p} = ( 2 + 1 ) \% = 3 \%$