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MakcuM [25]
2 years ago
8

A triangular prism has a height of 9 meters and a triangular base with the following dimensions.

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
6 0

Answer:

The surface area of the prism is 420\ m^{2}

Step-by-step explanation:

we know that

The surface area of the triangular prism is equal to

SA=2B+PH

where

B is the area of the triangular base

P is the perimeter of the triangular base

H is the height of the prism

we have

H=9\ m

<em>Find the area of the triangular base</em>

The area is equal to

B=\frac{1}{2}(16)(6)=48\ m^{2}

see the attached figure to better understand the problem

<em>Find the perimeter of the triangular base</em>

The perimeter is equal to

P=(10+10+16)=36\ m

substitute the values

SA=2B+PH

SA=2(48)+(36)(9)=420\ m^{2}

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