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: 216 cm3; pyramid: 72 cm3 prism: 216 cm cubed ; pyramid: 72 cm cubed prism: 36 cm3; pyramid: 108 cm3 prism: 36 cm cubed ; pyramid: 108 cm cubed prism: 72 cm3; pyramid: 216 cm3

Answer 1

The correct response is prism: 108 cm3; pyramid: 36 cm3.

To find the volume of a triangular prism, you use the formula V = (1/2) * b * h * l, where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism. In this case, the base of the triangle is 6 cm and the length of the prism is 9 cm. Plugging in the values, we get: V = (1/2) * 6 * 9 * 9 = 108 cm3.

To find the volume of a triangular pyramid, you use the formula V = (1/3) * b * h, where b is the base of the triangle and h is the height of the pyramid. Plugging in the values, we get: V = (1/3) * 6 * 9 = 36 cm3.