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

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Answer 1 · 2018-04-30T15:43:51

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

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

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

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