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 point)
The volume of a triangular pyramid is one-third the volume of a triangular prism with the same base and height.
Therefore, the relationship between the volume of a triangular pyramid and a triangular prism with congruent bases and the same height can be expressed as:
Volume of triangular pyramid : Volume of triangular prism = 1 : 3
I don't get that answer
Apologies for the confusion in my previous response. Let's clarify the relationship between the volume of a triangular pyramid and a triangular prism with congruent bases and the same height.
Given that the bases are congruent and the heights are the same, the volume of a triangular pyramid is one-third the volume of a triangular prism with the same base and height.
Therefore, we can express the relationship between the volume of each as a ratio:
Volume of triangular pyramid : Volume of triangular prism = 1/3 : 1
This means that the volume of the triangular pyramid is one-third (1/3) of the volume of the triangular prism in this specific scenario.