Question

A cube is subjected to a uniform volume compression. If the side of the cube decreases by 1% the bulk stain is

Answer 1

Given,

Side of cube is $a$

$\frac{da}{a}=\frac{1}{100}$

Volume of cube, $V=a^3$

Volumetric Strain, $\frac{dV}{V}=\frac{3a^{2}da}{a^3}=3\frac{da}{a}=\frac{3}{100}=0.03$

Hence, volumetric strain is $3$%