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. FRONT BACK RIGHT LEFT BOTTOM 2 Triangular bases 3 rectangular sides

4. Unfolded net of a triangular prism

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

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

7. Practice Time!

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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