Solve V = (1/3)Bh for h

Step by step

The question

Question: solve for h in V = (1/3)Bh.

We treat the other letters like numbers.

1 h on the left

h is on the right.

We swap the two sides, so h is on the left.

They are still equal.

2 Remove the fraction

There is a fraction: over 3.

Times 3 removes it.

We do it on both sides.

3/3 is 1.

The fraction is gone.

Now we have Bh = 3V.

3 Remove the B

Bh means B times h.

We want just h.

To remove times B, we divide by B.

We do it on both sides.

B divided by B is 1.

So just h is left.

So h = 3V over B.

4 Check

Let's check with numbers.

We pick B = 3, V = 2.

Our answer gives h = 2.

Now we put all the numbers into the start.

First the left side.

Now the right side.

Both sides are 2.

So our answer is right!

Let's look back.

First: h on the left.

Then: remove the fraction.

Then: remove the B.

Last: check.