To find the total surface area of the composite figure, we need to find the surface area of each individual shape and then add them together.
Surface Area of the rectangular prism:
- Front and back faces: 2(32m x 8m) = 512 square meters
- Top and bottom faces: 2(32m x 10m) = 640 square meters
- Sides: 2(8m x 10m) = 160 square meters
Total surface area of the rectangular prism = 512 + 640 + 160 = 1312 square meters
Surface Area of the triangular prism:
- Base: 32m x 10m = 320 square meters
- Two triangular faces: 2(1/2 x 20m x 12m) = 240 square meters
Total surface area of the triangular prism = 320 + 240 = 560 square meters
Total surface area of the composite figure = 1312 + 560 = 1872 square meters
Therefore, the total surface area of the composite figure is 1872 square meters.