# How do you solve for b in V= 1/3hb?

Feb 17, 2017

See the entire solution process below:

#### Explanation:

Multiply each side of the equation by $\frac{\textcolor{red}{3}}{\textcolor{b l u e}{h}}$ to solve for $b$ while keeping the equation balanced:

$\frac{\textcolor{red}{3}}{\textcolor{b l u e}{h}} \times V = \frac{\textcolor{red}{3}}{\textcolor{b l u e}{h}} \times \frac{1}{3} h b$

$\frac{3 V}{h} = \frac{\cancel{\textcolor{red}{3}}}{\cancel{\textcolor{b l u e}{h}}} \times \frac{1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} \textcolor{b l u e}{\cancel{\textcolor{b l a c k}{h}}} b$

$\frac{3 V}{h} = b$

$b = \frac{3 V}{h}$