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
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.