Answer:
To find the surface area of the figure, we need to break it down into its component shapes and calculate their surface areas, then add them up.
The figure can be divided into a rectangular prism (the bottom part) and two triangular prisms (the top part).
The rectangular prism has dimensions 32 m × 26 m × 12 m. Its surface area is:
2(32 × 26) + 2(32 × 12) + 2(26 × 12) = 2(832 + 384 + 312) = 2(1528) = 3056 m²
Each of the two triangular prisms has base 32 m, height 15 m, and slant height 17 m (using the Pythagorean theorem). The surface area of each triangular prism is:
2(1/2)(32)(15) + 2(1/2)(32)(17) + 2(1/2)(15)(17) = 480 + 544 + 255 = 1279 m²
Therefore, the total surface area of the figure is:
3056 + 1279 + 1279 = 5614 m²
Rounding to the nearest tenth, the surface area is 5614.0 m².