A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 24 cm, a width of 3 cm, and a height of 12 cm. The pyramid has a height of 21 cm. Find the volume of the composite space figure.(1 point)Responses4,032 cm34,032 cm 32,376 cm32,376 cm 31,368 cm31,368 cm 3792 cm3

1 answer

The volume of the rectangular prism is length x width x height = 24 cm x 3 cm x 12 cm = 864 cm^3.

The volume of the pyramid is 1/3 x base area x height = 1/3 x (24 cm x 3 cm) x 21 cm = 504 cm^3.

Therefore, the total volume of the composite space figure is the sum of the volume of the prism and the volume of the pyramid:

864 cm^3 + 504 cm^3 = 1368 cm^3.

So, the correct response is 1368 cm^3.