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Lana71 [14]
3 years ago
11

A triangular prism is 20 millimeters long and has a triangular face with a base of 24 millimeters and a height of 16 millimeters

. The other two sides of the triangle are each 20 millimeters. What is the surface area of the triangular prism?
Mathematics
1 answer:
uysha [10]3 years ago
7 0

Answer:

The surface area of the prism is 1,664\ mm^{2}

Step-by-step explanation:

we know that

The surface area of the triangular prism is equal to

SA=2B+PL

where

B is the area of the triangular face

P is the perimeter of the triangular face

L is the length of the triangular prism

<em>Find the area of the triangular face B</em>

B=\frac{1}{2}(24)(16)= 192\ mm^{2}

<em>Find the perimeter of the triangular face P</em>

P=(24+20+20)= 64\ mm

we have

L=20\ mm

substitute the values

SA=2(192)+(64)(20)=1,664\ mm^{2}

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