What Is The Surface Area Of this triangular prism? The Base Of Each Triangle 42m And the height of the triangular base is 20m. (

Question

2 years ago

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Not A Multiple Choice Question)

1 answer:

ehidna [41] · Answer 1 · 2022-01-31T00:40:29+03:00

Answer:

The surface area is $2,440\ m^{2}$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The surface area of a triangular prism is equal to

$SA=2B+PH$

where

B is the area of the triangular base

P is the perimeter of the triangular face

H is the height of the prism

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

$B=\frac{1}{2}(42)(20)=420\ m^{2}$

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

$P=(42+29+29)=100\ m$

we have

$H=16\ m$

substitute the values

The surface area is

$SA=2(420)+100(16)=2,440\ m^{2}$