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

1 Answer
Apr 30, 2018

Answer:

#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)#