Use the image to answer the question. 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

triangle Shape:
length: 6
line in the middle: 4

1 answer

To find the volume of a triangular prism, you need to multiply the area of the base by the height.
Area of the base of the triangular prism = 1/2 * base * height = 1/2 * 6 * 4 = 12 cm squared
Volume of the triangular prism = area of base * height = 12 * 9 = 108 cm cubed

To find the volume of a triangular pyramid, you need to multiply the area of the base by the height and divide by 3.
Volume of the triangular pyramid = 1/3 * area of base * height = 1/3 * 12 * 9 = 36 cm cubed

Therefore, the volume of the triangular prism is 108 cm cubed and the volume of the triangular pyramid is 36 cm cubed. The correct response is prism: 108 cm cubed ; pyramid: 36 cm cubed.
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