The surface area of a triangular prism with the 3 sides slant height as 14 the base width as 8 and the base height as 6.9 is 155. 705 in²
The surface area of a triangular pyramid is the total area of all it's faces.
The properties of a triangular prism are;
Surface area = Base Area + 1÷2 (perimeter × base height)
But base area = 1÷2 (base side × height)
Base area = 1÷ 2 (8 × 14) = 0.5 × 112 = 56 in²
Perimeter = sum of all the sides = 14 + 8 + 6.9 = 28. 9 in
Base height = 6. 9in
Surface area = 56 + 1 ÷ 2 ( 28.9× 6. 9) = 56 + 0.5 × 199.41 = 56 + 99. 705 = 155. 705 in²
Surface area = 155. 705 in²
Therefore, the surface area of the triangular prism is 155. 705 in²
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