# If the shown shape has a depth of 4 what is its total volume?

May 2, 2017

It's this, 4 deep:

So that's $4 \times \left(3 \times 3\right) \times 4$

May 2, 2017

$144 {\text{ units}}^{3}$

#### Explanation:

Split the shape up. This works well for volume. You have to be a bit more careful with surface areas.

Volume of A is: $9 \times 3 \times 4 = 108$

Volume of B is: $3 \times 3 \times 4 = 36$

Total volume is:

$108$
$\underline{\textcolor{w h i t e}{1} 36} \leftarrow \text{ Add}$
$144$

It is good practice to show the units of measurement.

Suppose you were measuring in inches

Length $\to \text{ inches}$
Area $\to {\text{ inches}}^{2}$
Volume $\to {\text{ inches}}^{3}$

We do not know what units of measurement is used for this question so we say ${\text{units}}^{3}$ giving:

$144 {\text{ units}}^{3}$