Answer:
To calculate the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.
1. First, let's find the area of the base triangle. The area of a triangle can be calculated using the formula: Area = (base * height) / 2.
2. In this case, the base of the triangle is QR, which measures 20 m, and the height is PU, which measures 9 m.
3. Plugging in the values into the formula, we get: Area = (20 * 9) / 2 = 180 / 2 = 90 square meters.
4. Now that we have the area of the base triangle, we need to find the height of the prism. The height is the distance between the parallel bases, which in this case is UQ and PU.
5. UQ measures 12 m, so that is the height of the prism.
6. Finally, to calculate the volume of the triangular prism, we multiply the area of the base triangle by the height of the prism: Volume = Area * Height = 90 square meters * 12 meters = 1080 cubic meters.
Therefore, the volume of the triangular prism is 1080 cubic meters.