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26 votes
Find the surface area of the triangular prism (above) using its net (below).

Find the surface area of the triangular prism (above) using its net (below).-example-1
User Piotr Praszmo
by
3.2k points

1 Answer

15 votes
15 votes
This is quite simple, first, you must find the area of each shape, since the form of the prism is currently 2D.

Formula for (Area of Rectangle)= length x width

Formula for (Area of Triangle)= 1/2 base x height

Now, we have the formulas. Let’s get started!

(Identification) There are 3 rectangles and 2 triangles. 2 rectangles are of the same size and 2 triangles are of the same size.

Triangles~ the base is 6 and the height is 4.

1/2 (6 x 4) = 12

However, there’s two triangles. (of the same size)

12 x 2 = 24

Rectangles 1 and 2~ the length is 5 and the width is 7

5 x 7 = 35

However, there’s two rectangles. (of the same size)

35 x 2 = 70

Rectangle 3~ the length is 6 and the width is 7

6 x 7 = 42

There’s only one of these.

Now we add all the areas of the shapes together!

24 + 70 + 42 = 136

The surface area is 136.
User Ahmad Sultan
by
3.6k points
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