Solve V = lwh for h

Step by step

The question

Question: solve for h in V = lwh.

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 lw

lwh means lw times h.

We want just h.

To remove times lw, we divide by lw.

We do it on both sides.

lw divided by lw is 1.

So just h is left.

So h = V over lw.

3 Check

Let's check with numbers.

We pick V = 6, l = 2, w = 3.

Our answer gives h = 1.

Now we put all the numbers into the start.

First the left side.

Now the right side.

Both sides are 6.

So our answer is right!

Let's look back.

First: h on the left.

Then: remove the lw.

Last: check.