Solve for B V=1/3Bh ; for B

$V = \frac{1}{3} B h$ ; for $B$

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 $h$ and simplify.

Divide each term in $B h = 3 V$ by $h$ .

$\frac{B h}{h} = \frac{3 V}{h}$

Simplify the left side.

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{B h}{h} = \frac{3 V}{h}$

Divide $B$ by $1$ .

$B = \frac{3 V}{h}$