Question

How does the volume of a cube change if its side is increased by 25%

Answer 1

`\bf \textit{volume of a cube}\\\\ V=s^3\qquad \begin{cases} s=\textit{length of a side}\\ ---------\\ s=s+0.25s\\ \qquad 1.25s\\ \qquad (5)/(4)s \end{cases}\implies V=\left( (5)/(4)s \right)^3\implies V=\cfrac{5^3}{4^3}s^3 \\\\\\ V=\cfrac{125}{64}s^3 \\\\\\ \textit{notice, the new volume is }(125)/(64)\textit{ larger than the original volume }s^3`