Solve for l v=1/3lwh

$v = \frac{1}{3} l w h$

Rewrite the equation as $\frac{1}{3} \cdot (l w h) = v$ .

$\frac{1}{3} \cdot (l w h) = v$

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} \cdot (l w h)) = 3 v$

Simplify the left side.

Simplify $3 (\frac{1}{3} \cdot (l w h))$ .

Multiply $\frac{1}{3} (l w h)$ .

Combine $l$ and $\frac{1}{3}$ .

$3 (\frac{l}{3} (w h)) = 3 v$

Combine $w$ and $\frac{l}{3}$ .

$3 (\frac{w l}{3} h) = 3 v$

Combine $\frac{w l}{3}$ and $h$ .

$3 \frac{w l h}{3} = 3 v$

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{w l h}{3} = 3 v$

Rewrite the expression.

$w l h = 3 v$

Divide each term in $w l h = 3 v$ by $w h$ and simplify.

Divide each term in $w l h = 3 v$ by $w h$ .

$\frac{w l h}{w h} = \frac{3 v}{w h}$

Simplify the left side.

Cancel the common factor of $w$ .

Cancel the common factor.

$\frac{w l h}{w h} = \frac{3 v}{w h}$

Rewrite the expression.

$\frac{l h}{h} = \frac{3 v}{w h}$

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{l h}{h} = \frac{3 v}{w h}$

Divide $l$ by $1$ .

$l = \frac{3 v}{w h}$