# How do you find h, if the volume of a box V = 0.0144, l = 0.08, and w = 0.6?

Apr 16, 2017

$h = 0.3$

See the explanation.

#### Explanation:

$V = l \times w \times h$

$h = \frac{v}{l \times w}$

$h = \frac{0.0144}{0.08 \times 0.6} = 0.3$

Apr 16, 2017

$h = 0.3$

#### Explanation:

The formula for Volume is $l \cdot w \cdot h$

So, if we have $l , w ,$ and $V$, we can solve for our remaining variable, $h$!

We need to set $V = l \cdot w \cdot h$ in terms of $h$; that means we need to isolate $h$.

$V = l \cdot w \cdot h$
divide by $l$
$\frac{V}{l} = w \cdot h$
divide by $w$
$\frac{\frac{V}{l}}{w} = h$
which is the same thing as $\frac{V}{l} \cdot \frac{1}{w}$ or $\frac{V}{l \cdot w} = h$

Now, let's replace the variable with our numbers:
$h = \frac{V}{l \cdot w}$
$h = \frac{0.0144}{0.08 \cdot 0.6}$
$h = \frac{0.0144}{0.048}$
$h = .3$

Just to double check our work, let's go back to our original formula
($V = l \cdot w \cdot h$) and use $0.3$ for $h$ and solve for Volume.

$V = l \cdot w \cdot h$
$V = 0.08 \cdot 0.6 \cdot 0.3$
$V = 0.0144$

Our volume is correct, so our $h$ must be right too! Good job!

Apr 16, 2017

$h = 0.3$

#### Explanation:

The formula for Volume is

$V = l \times b \times h$

Three of the four values are known. Change the formula so that
$h$ is the subject, then substitute.

$h = \frac{V}{l \times w}$

$h = \frac{0.0144}{0.08 \times 0.6}$

$h = 0.3$