To find the volume of a pyramid that has the same base and height as a prism, we can use the relationship between the volumes of these two shapes.
The volume \( V \) of a prism is given by the formula: \[ V_{prism} = \text{Base Area} \times \text{Height} \]
The volume \( V \) of a pyramid is given by the formula: \[ V_{pyramid} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Since both shapes have the same base and height, we can relate the volumes as follows: \[ V_{pyramid} = \frac{1}{3} \times V_{prism} \]
Given that the volume of the prism is 1,092 cubic units: \[ V_{pyramid} = \frac{1}{3} \times 1,092 = 364 \text{ cubic units} \]
Thus, the volume of the pyramid is 364 cubic units.