Given a triangular pyramid and triangular prism with congruent bases and the same heights, what do you know about the relationship between the volume of each? Write your answer in fraction form.

1 answer

The volume of a triangular pyramid is one-third the volume of a triangular prism with congruent bases and the same heights.

Volume of triangular pyramid = 1/3 x base area x height
Volume of triangular prism = base area x height

Therefore, the relationship between the volume of the triangular pyramid and the volume of the triangular prism is 1/3.