Question

A cube has a volume of 7 cubic centimeter what is the surface area

Answer 1

`\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=\stackrel{\textit{length of}}{\textit{a side}}\\[-0.5em] \hrulefill\\ V=7 \end{cases}\implies 7=s^3\implies \sqrt[3]{7}=s`

now, Check the picture below, since it's really just 6 square faces,

`\bf \textit{surface area of a cube}\\\\ SA=6s^2~~ \begin{cases} s=\stackrel{\textit{length of}}{\textit{a side}}\\[-0.5em] \hrulefill\\ s = \sqrt[3]{7} \end{cases}\implies SA=6\sqrt[3]{7}\implies SA\approx 11.477587`