Solve for a v=1/3ah

$v = \frac{1}{3} a h$

Step 1

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

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

Step 2

Multiply both sides of the equation by $3$ .

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

Step 3

Simplify the left side.

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

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

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

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

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

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

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$a h = 3 v$

Step 4

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

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

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

Simplify the left side.

Cancel the common factor of $h$ .

Cancel the common factor.

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

Divide $a$ by $1$ .

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