Question

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What is the volume of the composite figure?

A three-dimensional composite figure consists of a rectangular prism and a rectangular base pyramid stacked on top of the prism. The prism has length of four yards, width of three yards, and height of six yards. The height of the pyramid is four yards.
Select one:
A. forty cubic yards
B. eighty-eight cubic yards
C. one hundred twelve cubic yards
D. one hundred twenty-four cubic yards

Answer 1

Volume of the rectangular prism is just
V=l∗w∗h
Plug in the values you know:
l=3,w=2,h=4
Vprism=3∗2∗4=24 cubic yards
That already rules out one possible answer.

Answer 2

good explanation

Answer 3

I'm still confused

Answer 4

Volume of a rectangular pyramid is
V=13Ah
where A is the area of the base, and h is the height. We know h=2 here.

Answer 5

ok...

Answer 6

BTW I know its not C

Answer 7

Now we know the area A of the base of the pyramid, and we know its height h. For the volume of the pyramid, we use
Vpyramid=13Ah


Find the volume of the pyramid. Add it to the volume of the prism we found earlier, and select the matching answer.

Answer 8

A=6
h=2
Vpyramid=13Ah=13(6)(2)=
Add that quantity to the volume we found for the rectangular block earlier to get your answer.

Answer 9

ok, thank u! :)