Question

What is the volume of the figure?

3 ft.
4 ft.
5 ft.
5 ft.
9 ft.
4 ft.
4 ft.
8 ft.​

Answer 1

188
`ft^(3)`

Explanation:

So we can split up this shape into two prisms and then add the two areas.

The volume of a rectangular prism is V = l*w*h

For the first prism, we have our length as 3, our width as 4, and our height as 9. Substituting these values into our volume equation gives us V = (3)(4)(9) = 108
`ft^(3)`.

Now for the second prism, we have our length as 5, our width as 4, and our height as 4. Substituting these values into our volume equation give us V = (5)(4)(4) = 80
`ft^(3)`

Now adding these two values will give us the area of the entire figure: 108
`ft^(3)` +80
`ft^(3)` = 188
`ft^(3)`