4 cm
6 cm
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?
Prism: 36 cm3; pyramid: 108 cm3
Prism: 72 cm3; pyramid: 216 cm3
Prism: 216 cm3; pyramid 72 cm3
Prism: 108 cm3; pyramid: 36 cm3
Prism: 108 cm3; pyramid: 36 cm3
Volume of a triangular prism = (1/2) x base x height
Volume of a triangular pyramid = (1/3) x base x height
For the prism:
Volume = (1/2) x 4 cm x 6 cm x 9 cm = 108 cm3
For the pyramid:
Volume = (1/3) x 4 cm x 6 cm x 9 cm = 36 cm3
Therefore, the correct answer is:
Prism: 108 cm3; pyramid: 36 cm3