Solve for h v=1/3bh for h

$v = \frac{1}{3} b h$ for $h$

Step 1

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

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

Step 2

Multiply both sides of the equation by $3$ .

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

Step 3

Simplify the left side.

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

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

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

$3 (\frac{b}{3} h) = 3 v$

Combine $\frac{b}{3}$ and $h$ .

$3 \frac{b h}{3} = 3 v$

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{b h}{3} = 3 v$

Rewrite the expression.

$b h = 3 v$

Step 4

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

Divide each term in $b h = 3 v$ by $b$ .

$\frac{b h}{b} = \frac{3 v}{b}$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{b h}{b} = \frac{3 v}{b}$

Divide $h$ by $1$ .

$h = \frac{3 v}{b}$