The volume of a prism can be calculated using the formula:
\[ V = \text{Base Area} \times \text{Height} \]
For a pyramid, the volume is calculated using the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Since both the prism and the pyramid have the same triangular base and height, we can see the relationship between their volumes.
Given that the volume of the prism is 1,092 cubic units, we can express the volume of the pyramid as:
\[ \text{Volume of Pyramid} = \frac{1}{3} \times \text{Volume of Prism} \]
Substituting the volume of the prism:
\[ \text{Volume of Pyramid} = \frac{1}{3} \times 1,092 \]
Calculating this gives:
\[ \text{Volume of Pyramid} = 364 \text{ cubic units} \]
Therefore, the volume of the pyramid is 364 cubic units.