Question

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

Answer 1

It's this, 4 deep:

So that's `4 xx (3 xx 3) xx 4`

Answer 2

`144" 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: `9xx3xx4= 108`

Volume of B is: `3xx3xx4=36`

Total volume is:

`108`
`ul(color(white)(1)36) larr" Add"`
`144`

It is good practice to show the units of measurement.

Suppose you were measuring in inches

Length `->" inches"`
Area `->" inches"^2`
Volume `->" inches"^3`

We do not know what units of measurement is used for this question so we say `"units"^3` giving:

`144" units"^3`