To find the volume of the composite space figure, we first calculate the volume of the prism:
Volume of prism = length x width x height
Volume of prism = 24 cm x 3 cm x 12 cm
Volume of prism = 864 cm³
Next, we calculate the volume of the pyramid:
Volume of pyramid = 1/3 x base area x height
The base of the pyramid is the same as the base of the prism, so the base area is 24 cm x 3 cm = 72 cm²
Volume of pyramid = 1/3 x 72 cm² x 21 cm
Volume of pyramid = 504 cm³
Add the volumes of the prism and pyramid to get the total volume of the composite space figure:
Total volume = volume of prism + volume of pyramid
Total volume = 864 cm³ + 504 cm³
Total volume = 1368 cm³
The volume of the composite space figure is 1368 cm³.
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)
Responses
1 answer
1 answer