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: 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: 72 cm3; pyramid: 216 cm3 prism: 72 cm cubed ; pyramid: 216 cm cubed prism: 216 cm3; pyramid: 72 cm3
prism: 108 cm3; pyramid: 36 cm3
To calculate the volume of a prism, you multiply the area of the base by the height. The base of the triangular prism has an area of 2*9 = 18 cm2. Therefore, the volume of the prism is 18*9 = 162 cm3.
To calculate the volume of a pyramid, you multiply the area of the base by the height and divide by 3. The base of the triangular pyramid has an area of 2*9 = 18 cm2. Therefore, the volume of the pyramid is 18*9/3 = 54 cm3.