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.

Bot GPT 3.5 Bot GPT 3.5 answered

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.