23
Surface Area of Triangular Prisms
Surface Area of Triangular Prisms
• Definition:The sum of the areas of all of the faces of a three-dimensional figure.
• Ex. How much construction paper will I need to fit on the outside of the shape?
A triangular prism has 5 faces.
FRONT
BACK
RIGHT
LEFT
BOTTOM
•2 Triangular bases•3 rectangular sides
Unfolded net of a triangular prism
A triangular prism has 5 faces.
FRONT
BACK
RIGHT
LEFT
BOTTOM
In order to find the surface area, find the area of each face. Then sum all of the
areas.
FRONT
BACK
RIGHT
LEFT
BOTTOM
Practice Time!
1) Find the surface area of the triangular prism.
10 ft
20 ft8 ft
5 ft
1) Find the surface area of the triangular prism.
10 ft
20 ft
10 ft
10 ft
8 ft
8 ft
20 ft
20 ft
5 ft
5 ft
1) Find the surface area of the triangular prism.
10 ft
20 ft
10 ft
10 ft
8 ft
8 ft
20 ft
20 ft
5 ft
5 ft
40 sq ft
40 sq ft
100 sq ft
100 sq ft
200 sq ft
40 + 40 + 100 + 100 + 200 = 480 sq ft
10 ft
20 ft
10 ft
10 ft
8 ft
8 ft
20 ft
20 ft
5 ft
5 ft
40 sq ft
40 sq ft
100 sq ft
100 sq ft
200 sq ft
2) Find the surface area of the triangular prism.
12 ft
16 ft5 ft
8 ft
2) Find the surface area of the triangular prism.
12 ft
16 ft
12 ft
12 ft
5 ft
5 ft
16 ft
16 ft
8 ft
8 ft
2) Find the surface area of the triangular prism.
12 ft
16 ft
12 ft
12 ft
5 ft
5 ft
16 ft
16 ft
8 ft
8 ft
30 sq ft
30 sq ft
128 sq ft
128 sq ft
192 sq ft
30 + 30 + 128 + 128 + 192 = 508 sq ft
12 ft
16 ft
12 ft
12 ft
5 ft
5 ft
16 ft
16 ft
8 ft
8 ft
30 sq ft
30 sq ft
128 sq ft
128 sq ft
192 sq ft
3) Find the surface area of the triangular prism.
15 ft
22 ft8 ft
10 ft
3) Find the surface area of the triangular prism.
15 ft
22 ft
15 ft
15 ft
8 ft
8 ft
22 ft
22 ft
10 ft
10 ft
3) Find the surface area of the triangular prism.
15 ft
22 ft
15 ft
15 ft
8 ft
8 ft
22 ft
22 ft
10 ft
10 ft
60 sq ft
60 sq ft
220 sq ft
220 sq ft
330 sq ft
60 + 60 + 220 + 220 + 330 = 890 sq ft
15 ft
22 ft
15 ft
15 ft
8 ft
8 ft
22 ft
22 ft
10 ft
10 ft
60 sq ft
60 sq ft
220 sq ft
220 sq ft
330 sq ft
4) Find the surface area of the triangular prism.
2.5 ft
8 ft2 ft
4 ft
4) Find the surface area of the triangular prism.
2.5 ft
8 ft2.5 ft
2.5 ft
2 ft
2 ft
8 ft
8 ft
4 ft
4 ft
4) Find the surface area of the triangular prism.
2.5 ft
8 ft2.5 ft
2.5 ft
2 ft
2 ft
8 ft
8 ft
4 ft
4 ft
2.5 sq ft
2.5 sq ft
32 sq ft
32 sq ft
20 sq ft
2.5 + 2.5 + 32 + 32 + 20 = 89 sq ft
2.5 ft
8 ft2.5 ft
2.5 ft
2 ft
2 ft
8 ft
8 ft
4 ft
4 ft
2.5 sq ft
2.5 sq ft
32 sq ft
32 sq ft
20 sq ft
![24. [Surface Area] - mathsmate.co.nz · Skill 24.4 Calculating the total surface area (TSA) of triangular prisms (1). ... Q. Find the total surface area of the regular square pyramid.](https://static.documents.pub/doc/80x56/5b4f3dd97f8b9a2a6e8be26c/24-surface-area-skill-244-calculating-the-total-surface-area-tsa-of.jpg)