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

Answer:

188 $ft^{3}$

Step-by-step 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 $ft^{3}$