1. **State the problem:** Calculate the surface area of a triangular prism given the net with dimensions.
2. **Identify the shapes in the net:** The net includes:
- Rectangle 1: 13 ft by 9 ft
- Two triangles: base 9 ft, height 15 ft
- Rectangle 2: 12 ft by 15 ft
3. **Surface area formula:** Surface area = sum of areas of all faces.
4. **Calculate areas:**
- Rectangle 1 area: $13 \times 9 = 117$ sq ft
- Triangle area: $\frac{1}{2} \times 9 \times 15 = \frac{1}{2} \times 135 = 67.5$ sq ft
- Two triangles total area: $2 \times 67.5 = 135$ sq ft
- Rectangle 2 area: $12 \times 15 = 180$ sq ft
5. **Sum all areas:**
$$117 + 135 + 180 = 432$$ sq ft
6. **Final answer:** The surface area of the triangular prism is **432 square feet**.
Triangular Prism Surface Bfbcd2
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