To find the volume of the composite space figure, we first need to find the volume of the rectangular prism and the volume of the rectangular pyramid separately, and then add them together.
Volume of rectangular prism = length * width * height
Volume of rectangular prism = 24 cm * 3 cm * 12 cm
Volume of rectangular prism = 864 cm³
Volume of rectangular pyramid = 1/3 * base area * height
Base area of rectangular pyramid = length * width = 24 cm * 3 cm = 72 cm²
Volume of rectangular pyramid = 1/3 * 72 cm² * 21 cm
Volume of rectangular pyramid = 504 cm³
Total volume of the composite space figure = Volume of rectangular prism + Volume of rectangular pyramid
Total volume = 864 cm³ + 504 cm³
Total volume = 1368 cm³
Therefore, the volume of the composite space figure is 1,368 cm³.
So the answer is:
1,368 cm³
A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 24 cm, 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)
4,032 cm³
2,376 cm³
1,368 cm³
792 cm³
1 answer
1 answer