Question

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

Answer 1

The answer would be.. 136

Hope this helps!!

Answer 2

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.