Subjects geometry

Triangular Prism Surface Bfbcd2

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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**.