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)

Question

The volume of the pyramid is the size of the volume of

Answer 1

The volume of a triangular pyramid (tetrahedron) is one-third the volume of a triangular prism with the same base and height.

Thus, the relationship can be expressed as:

\[ \text{Volume of the pyramid} = \frac{1}{3} \times \text{Volume of the prism} \]

In fraction form, this means:

\[ \text{Volume of the pyramid} \text{ is } \frac{1}{3} \text{ the size of the volume of the prism.} \]