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KatRina [158]
3 years ago
9

I NEED HELP ASAP PLEASE LOOK AT THE PICTURE

Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

Answer:

  385.6 m²

Step-by-step 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.

__

  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.

_____

<em>Additional comment</em>

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)
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