Answer:
96 m²
Explanation:
You want the surface area of a triangular prism of height 7 m with bases that are 3-4-5 m right triangles.
Base area
The total area of the two triangular bases is ...
A = 2(1/2)bh
A = (3 m)(4 m) = 12 m² . . . . . . total base area
Lateral area
The lateral area of the prism is the product of the perimeter of a base and the height of the prism.
LA = Ph
LA = (3 +4 +5 m)(7 M) = 84 m²
Surface area
The total surface area of the prism is the sum of the base area and the lateral area:
SA = 12 m² +84 m² = 96 m²
The surface area of the triangular prism is 96 m².
<95141404393>