use the model for the base of a triangular prism and triangular pyramid. if the heights are both 9cm what is the volume of each shape: 9cm;4cm

Answer 1

To find the volume of a triangular prism, we use the formula:

Volume = base area x height

For the triangular prism:
Base area = 1/2 x 9 x 4 = 18 square cm
Volume = 18 x 9 = 162 cubic cm

To find the volume of a triangular pyramid, we use the formula:

Volume = 1/3 x base area x height

For the triangular pyramid:
Base area = 1/2 x 9 x 4 = 18 square cm
Volume = 1/3 x 18 x 9 = 54 cubic cm

Therefore, the volume of the triangular prism is 162 cubic cm and the volume of the triangular pyramid is 54 cubic cm.