Respuesta :

Answer:

[tex]s=\sqrt{\frac{3V}{h}}[/tex]

Step-by-step explanation:

We have to re-write the equation and use algebra and solve for s.

This means, we need an expression where it will be "s=SOMETHING".

Lets show the process below:

[tex]V=\frac{1}{3}s^2 h\\V=\frac{s^2 h}{3}[/tex]

Now we cross multiply and solve for s:

[tex]V=\frac{s^2 h}{3}\\3V=s^2h\\s^2=\frac{3V}{h}\\s=\sqrt{\frac{3V}{h}}[/tex]

Note: to get s^2 to s, we take square root and eliminate the square

The formula for "s" is:

[tex]s=\sqrt{\frac{3V}{h}}[/tex]