Answer:
1435.5 m²
Explanation:
You want the area of the triangular prism with base side lengths 12 m, 33 m, and 35 m, and height 13 m. The altitude of the base triangle is given as 11.3 m from the longest side.
Base area
The area of each triangular base is ...
A = 1/2bh
A = 1/2(35 m)(11.3 m) = 197.75 m²
Lateral area
The area of the three rectangular faces will be ...
LA = (12 m)(13 m) +(33 m)(13 m) +(35 m)(13 m)
= (13 m)(12 +33 +35 m) = (13 m)(80 m) = 1040 m²
Total surface area
The total area is the sum of the lateral area and the areas of the two bases:
A = 1040 m² +2(197.75 m²) = 1435.5 m²
The surface area of the triangular prism is about 1435.5 m².
<95141404393>