# How do you solve V = lwh for w?

Jan 4, 2017

$\frac{V}{l} h = w$

#### Explanation:

To solve $V = l w h$ for $w$ we need to divide each side of the equation by $\textcolor{red}{l} \textcolor{b l u e}{h}$

$\frac{V}{\textcolor{red}{l} \textcolor{b l u e}{h}} = \frac{l w h}{\textcolor{red}{l} \textcolor{b l u e}{h}}$

$\frac{V}{\textcolor{red}{l} \textcolor{b l u e}{h}} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{l}}} w \textcolor{b u e}{\cancel{\textcolor{b l a c k}{h}}}}{\cancel{\textcolor{red}{l}} \cancel{\textcolor{b l u e}{h}}}$

$\frac{V}{l h} = w$

$w = \frac{V}{l h}$