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this shape is a triangular Pyramid the 3 sides slant height is 14 the base width is 8 and the base height is 6.9

This Shape Is A Triangular Pyramid The 3 Sides Slant Height Is 14 The Base Width Is 8 And The Base Height Is 69 class=

Sagot :

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

What is the surface area of a triangular prism?

The surface area of a triangular pyramid is the total area of all it's faces.

The properties of a triangular prism are;

  • It has a triangular base
  • It is bounded y three lateral triangular faces meeting at  one vertex.
  • It has all its faces as triangles

How to determine the surface area

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

Learn more about  surface area here:

https://brainly.com/question/16581456

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