Question

I need to solve for h. V=1/3 s square h

Answer 1

Since the given equation is

`V=(1)/(3)sh^2`

We need to solve for each, then

We have to isolate h on one side and the other terms on the other side

Then multiply both sides by 3

`\begin{gathered} (3)* V=(1)/(3)*(3)sh^2 \\ 3V=sh^2 \end{gathered}`

Now, divide both sides by s

`\begin{gathered} (3V)/(s)=(sh^2)/(s) \\ (3V)/(s)=h^2 \\ h^2=(3V)/(s) \end{gathered}`

Take a square root for both sides

`\begin{gathered} \sqrt[]{h^2}=\pm\sqrt[]{(3V)/(s)} \\ h=\pm\sqrt[]{(3V)/(s)} \end{gathered}`