Find the approximate change in the volume V of a cube of side  x  meters caused by increasing side by 1%.

The volume of a cube (V) of side x is given by V=x3. therefore,dV=dVdxΔx =3x2Δx =3x2(0.01x) [ as 1% of x is 0.01x] =0.03x3 Hence, the approximate change in the volume of the cube is 0.03x3m3