4 cm
6 cm
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)
Oprism: 108c * m ^ 3 pyramid: 36c * m ^ 3
216m ^ 3 Oprism: pyramid: 72c * m ^ 3
Oprism: 36 c * m ^ 3 pyramid: 108c * m ^ 3
prism: 72c * m ^ 3 pyramid: 216c * m ^ 3
Using the formula for the volume of a prism, V = (1/2)bh, where b is the area of the base and h is the height, we have:
Prism: V = (1/2)(4 * 6)(9) = (1/2)(24)(9) = 108 cm^3
Using the formula for the volume of a pyramid, V = (1/3)bh, where b is the area of the base and h is the height, we have:
Pyramid: V = (1/3)(4 * 6)(9) = (1/3)(24)(9) = 72 cm^3
Therefore, the volume of the triangular prism is 108 cm^3 and the volume of the triangular pyramid is 72 cm^3.