# How do you solve for s in V= (1/3)(s^2)(h)?

Apr 30, 2018

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

#### Explanation:

Rewrite the formula with ${s}^{2}$ on the left side.
The brackets are not necessary.

It is all one term - it is only multiplication and division.
You need to isolate $\textcolor{b l u e}{{s}^{2}}$

$\frac{1}{3} \textcolor{b l u e}{{s}^{2}} h = V \text{ } \leftarrow \times 3$ on both sides

$\text{ "color(blue)(s^2)h =3V" } \leftarrow \div h$ on both sides

$\text{ "color(blue)(s^2) =(3V)/h" } \leftarrow$ find the square root of both sides

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