Question

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

Answer 1

`color(blue)(s) = sqrt((3V)/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 `color(blue)(s^2)`

`1/3color(blue)(s^2)h =V" "larr xx 3` on both sides

`" "color(blue)(s^2)h =3V" " larrdiv h` on both sides

`" "color(blue)(s^2) =(3V)/h" "larr` find the square root of both sides

`color(blue)(s) = sqrt((3V)/h)`