# How do you solve for V in B= (3V)/h?

Sep 10, 2017

$\textcolor{red}{V} = \frac{B h}{3}$

#### Explanation:

When solving these types of equations, perform operations on both sides of the equation until you isolate the variable that is desired. In this case, we need to get rid of the 3 and the h from the right hand side.

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

First, multiply both sides by $h$

$\textcolor{b l u e}{h} \cdot B = \frac{3 V}{h} \cdot \textcolor{b l u e}{h}$

The $h$'s cancel on the right

$\Rightarrow B h = 3 V \frac{\cancel{h}}{\cancel{h}}$

$\Rightarrow B h = 3 V$

Next, divide both sides by 3

$\frac{B h}{\textcolor{b l u e}{3}} = \frac{3 V}{\textcolor{b l u e}{3}}$

The 3's cancel on the right

$\Rightarrow \frac{B h}{3} = \cancel{3} \frac{V}{\cancel{3}}$

$\Rightarrow \frac{B h}{3} = V$

Now, rewrite the equation with $V$ on the left.

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