Solve for L V=LWH for L

$V = L W H$ for $L$

Step 1

Rewrite the equation as $L W H = V$ .

$L W H = V$

Step 2

Divide each term in $L W H = V$ by $W H$ and simplify.

Divide each term in $L W H = V$ by $W H$ .

$\frac{L W H}{W H} = \frac{V}{W H}$

Simplify the left side.

Cancel the common factor of $W$ .

Cancel the common factor.

$\frac{L W H}{W H} = \frac{V}{W H}$

Rewrite the expression.

$\frac{L H}{H} = \frac{V}{W H}$

Cancel the common factor of $H$ .

Cancel the common factor.

$\frac{L H}{H} = \frac{V}{W H}$

Divide $L$ by $1$ .

$L = \frac{V}{W H}$