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 the pyramid is the size of the volume of the prism...

1 answer

The volume of a triangular pyramid (or tetrahedron) is one-third the volume of a triangular prism with congruent bases and the same height. Therefore, the relationship can be expressed as:

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

In fraction form, you can say:

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