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07-04-2021
Mathematics

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The lateral surface area of a triangular prism is 182 in. The height is 14 in. What is the perimeter of the prism?

Respuesta :

07-04-2021

Answer:

13 in

Step-by-step explanation:

Let s be the length of a side of the triangle

then one rectangular face of the triangular prism

would be s x 14.

There are 3 rectangular faces in the triangular prism so

Lateral Surface Area = 3 x (s x 14)

182 = 42s

182/42 = s

There are 3 sides to the triangle so

3 x (182/42) = 13

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