Answer:
385.6 m²
Explanation:
The surface area of a prism is the sum of the surface areas of each of the faces. A triangular prism has two triangular faces and three rectangular faces. The areas of the rectangular faces will have a total equal to the perimeter of the triangle times the height of the prism.
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Area = 2×triangle area + lateral area
= 2(1/2)(bh) +PH
= (16 m)(5.6 m) + (6 +15 +16 m)(8 m)
= 89.6 m² +296 m² = 385.6 m²
The surface area of the triangular prism is 385.6 square meters.
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Additional comment
In the above formula, we have used ...
- b = triangle base (16 m)
- h = triangle height (5.6 m)
- P = triangle perimeter (6+15+16) m
- H = prism height (8 m)