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)
Responses
prism: 72 cm3; pyramid: 216 cm3
prism: 72 cm cubed ; pyramid: 216 cm cubed
prism: 108 cm3; pyramid: 36 cm3
prism: 108 cm cubed ; pyramid: 36 cm cubed
prism: 36 cm3; pyramid: 108 cm3
prism: 36 cm cubed ; pyramid: 108 cm cubed
prism: 216 cm3; pyramid: 72 cm3
prism: 216 cm cubed ; pyramid: 72 cm cubed
prism: 72 cm cubed ; pyramid: 36 cm cubed
To find the volume of a prism, you can use the formula V = Bh, where B is the area of the base and h is the height. The base of the prism is a triangle with a base of 6 cm and height of 9 cm, so the area of the base is (1/2)(6)(9) = 27 cm^2. The volume of the prism is then V = 27 cm^2 * 9 cm = 243 cm^3.
To find the volume of a pyramid, you can use the formula V = (1/3)Bh, where B is the area of the base and h is the height. The base of the pyramid is the same triangle with an area of 27 cm^2. The volume of the pyramid is then V = (1/3)(27 cm^2)(9 cm) = 81 cm^3.