Use the model for the base of a triangular prism and triangular pyramid, if the heights are both 9 cm, what is the volume of each shape?
(1 point)
prism: 72cm ^ 3 pyramid 216cm ^ 3
prism: 36cm ^ 3 pyramid. 108cm
Prism : 216cm ^ 3 pyramid: 72cm ^ 3
Prism: 108cm ^ 3 pyramid 36 cm³
Explain
The volume of a prism is calculated by multiplying the area of the base by the height of the prism. In this case, the base of the prism is a triangle with an area of 36cm^2 and a height of 9cm. Therefore, the volume of the prism would be 36cm^2 * 9cm = 324cm^3.
The volume of a pyramid is calculated by dividing the volume of a prism with the same base and height by 3. So, in this case, the volume of the pyramid would be 324cm^3 / 3 = 108cm^3.
Therefore, the correct answer is: Prism: 324 cm^3, Pyramid: 108 cm^3.