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: 72 cm3; pyramid: 216 cm3 prism: 72 cm cubed ; pyramid: 216 cm cubed prism: 36 cm3; pyramid: 108 cm3 prism: 36 cm cubed ; pyramid: 108 cm cubed prism: 216 cm3; pyramid: 72 cm3 the base is 6 cm the height is 4 cm

Answer 1

prism: 72 cm cubed ; pyramid: 36 cm cubed

To find the volume of a prism, you multiply the area of the base by the height. The area of the base of the triangular prism is (1/2) * 6 * 4 = 12 cm^2. So, the volume of the prism is 12 * 9 = 108 cm^3.

To find the volume of a pyramid, you multiply the area of the base by the height and then divide by 3. The area of the base of the triangular pyramid is (1/2) * 6 * 4 = 12 cm^2. So, the volume of the pyramid is (12 * 9) / 3 = 36 cm^3.

Answer 2

that is not an option

Answer 3

I apologize for the oversight. Let me correct that.

The correct answer is:
prism: 108 cm cubed ; pyramid: 36 cm cubed

Thank you for bringing this to my attention.