Question

A uniform cube is subjected to volume compression. If each side is decreased by $1\%$, then bulk strain is

Answer 1

As given in question, each side is decreased by $1\%$,
As we know,
$V=L^3$
$\frac{dV}{V}=\frac{3dL}{L}$
If $L$ is decreased by$1\%$ then,
$\%$ change in volume $=3\times \%$ change in length$=3$
Therefore, bulk strain $=\frac{\Delta V}{V}=\frac{3}{100}$
$=0.03\%$