Solve for h V=1/3s^2h ; solve for h

$V = \frac{1}{3} s^{2} h$ ; solve for $h$

Rewrite the equation as $\frac{1}{3} \cdot (s^{2} h) = V$ .

$\frac{1}{3} \cdot (s^{2} h) = V$

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} \cdot (s^{2} h)) = 3 V$

Simplify the left side.

Simplify $3 (\frac{1}{3} \cdot (s^{2} h))$ .

Multiply $\frac{1}{3} (s^{2} h)$ .

Combine $s^{2}$ and $\frac{1}{3}$ .

$3 (\frac{s^{2}}{3} h) = 3 V$

Combine $\frac{s^{2}}{3}$ and $h$ .

$3 \frac{s^{2} h}{3} = 3 V$

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{s^{2} h}{3} = 3 V$

Rewrite the expression.

$s^{2} h = 3 V$

Divide each term in $s^{2} h = 3 V$ by $s^{2}$ and simplify.

Divide each term in $s^{2} h = 3 V$ by $s^{2}$ .

$\frac{s^{2} h}{s^{2}} = \frac{3 V}{s^{2}}$

Simplify the left side.

Cancel the common factor of $s^{2}$ .

Cancel the common factor.

$\frac{s^{2} h}{s^{2}} = \frac{3 V}{s^{2}}$

Divide $h$ by $1$ .

$h = \frac{3 V}{s^{2}}$