Surface Area of Triangular Prisms

1. Surface Area of Triangular Prisms

2. 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?

3. A triangular prism has 5 faces. • 2 Triangular bases • 3 rectangular sides BACK LEFT RIGHT FRONT BOTTOM

4. Unfolded net of a triangular prism

5. A triangular prism has 5 faces. FRONT RIGHT BOTTOM LEFT BACK

6. In order to find the surface area, find the area of each face. Then the sum all of the areas. FRONT RIGHT BOTTOM LEFT BACK

7. Practice Time!

8. 1) Find the surface area of the triangular prism. 5 ft 8 ft 20 ft 10 ft

9. 1) Find the surface area of the triangular prism. 8 ft 5 ft 10 ft 20 ft 20 ft 5 ft 8 ft 10 ft 20 ft 10 ft

10. 1) Find the surface area of the triangular prism. 40 sq ft 8 ft 100 sq ft 5 ft 10 ft 200 sq ft 20 ft 20 ft 100 sq ft 40 sq ft 5 ft 8 ft 10 ft 20 ft 10 ft

11. 40 + 40 + 100 + 100 + 200 = 480 sq ft 40 sq ft 8 ft 100 sq ft 5 ft 10 ft 200 sq ft 20 ft 20 ft 100 sq ft 40 sq ft 5 ft 8 ft 10 ft 20 ft 10 ft

12. 1) Find the surface area of the triangular prism. Formula: SA = ah + aw + bw + cw SA = 10(8) + 10(20) + 5(20) + 5(20) SA = 80 + 200 + 100 + 100 SA = 480 ft² 5 ft 8 ft 20 ft 10 ft

13. 2) Find the surface area of the triangular prism. 8 ft 5 ft 16 ft 12 ft

14. 2) Find the surface area of the triangular prism. 5 ft 8 ft 12 ft 16 ft 16 ft 8 ft 5 ft 12 ft 16 ft 12 ft

15. 2) Find the surface area of the triangular prism. 30 sq ft 5 ft 128 sq ft 8 ft 12 ft 16 ft 192 sq ft 16 ft 128 sq ft 8 ft 5 ft 30 sq ft 12 ft 16 ft 12 ft

16. 30 + 30 + 128 + 128 + 192 = 508 sq ft 30 sq ft 5 ft 128 sq ft 8 ft 12 ft 16 ft 192 sq ft 16 ft 128 sq ft 8 ft 5 ft 30 sq ft 12 ft 16 ft 12 ft

17. 2) Find the surface area of the triangular prism. Formula: SA = ah + aw + bw + cw SA = 12(5) + 12(16) + 8(16) + 8(16) SA = 60 + 192 + 128 + 128 SA = 508 ft² 8 ft 5 ft 16 ft 12 ft

18. 3) Find the surface area of the triangular prism. 10 ft 8 ft 22 ft 15 ft

19. 3) Find the surface area of the triangular prism. 8 ft 10 ft 15 ft 22 ft 22 ft 10 ft 8 ft 15 ft 22 ft 15 ft

20. 3) Find the surface area of the triangular prism. 60 sq ft 8 ft 220 sq ft 10 ft 15 ft 22 ft 330 sq ft 22 ft 220 sq ft 10 ft 60 sq ft 8 ft 15 ft 22 ft 15 ft

21. 60 + 60 + 220 + 220 + 330 = 890 sq ft 60 sq ft 8 ft 220 sq ft 10 ft 15 ft 22 ft 330 sq ft 22 ft 220 sq ft 10 ft 60 sq ft 8 ft 15 ft 22 ft 15 ft

22. 3) Find the surface area of the triangular prism. Formula: SA = ah + aw + bw + cw SA = 15(8) + 15(22) + 10(22) + 10(22) SA = 120 + 330 + 220 + 220 SA = 890 ft² 10 ft 8 ft 22 ft 15 ft

23. 4) Find the surface area of the triangular prism. 4 ft 2 ft 8 ft 2.5 ft

24. 4) Find the surface area of the triangular prism. 2 ft 4 ft 2.5 ft 8 ft 8 ft 4 ft 2 ft 2.5 ft 8 ft 2.5 ft

25. 4) Find the surface area of the triangular prism. 2.5 sq ft 2 ft 32 sq ft 4 ft 2.5 ft 8 ft 20 sq ft 8 ft 32 sq ft 4 ft 2.5 sq ft 2 ft 2.5 ft 8 ft 2.5 ft

26. 2.5 + 2.5 + 32 + 32 + 20 = 89 sq ft 2.5 sq ft 2 ft 32 sq ft 4 ft 2.5 ft 8 ft 20 sq ft 8 ft 32 sq ft 4 ft 2.5 sq ft 2 ft 2.5 ft 8 ft 2.5 ft

27. 4) Find the surface area of the triangular prism. Formula: SA = ah + aw + bw + cw SA = 2.5(2) + 2.5(8) + 4(8) + 4(8) SA = 5 + 20 + 32 + 32 SA = 89 ft² 4 ft 2 ft 8 ft 2.5 ft