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Surface Areas of Pyramids and Cones

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Presentation on theme: "Surface Areas of Pyramids and Cones"— Presentation transcript:

1 Surface Areas of Pyramids and Cones
Geometry 10-4

2 Lateral Faces and Bases in Prisms and Pyramids
Surface Area

3 Pyramid – A polyhedron with a base, and the remaining faces are triangles meeting at one point
Vertex of a Pyramid – The point where triangles meet Altitude – The height of a pyramid Slant Height – The height of a lateral face triangle in a pyramid Vocabulary

4 Surface Area

5 Surface Area

6 Surface Area

7 ½ bl Surface Area

8 ½ nbl or ½ pl Surface Area

9 ½ anb or ½ ap Surface Area

10 ½ anb + ½ nbl = ½ nb ( a + l ) Surface Area

11 ½ ap + ½ pl = ½ p ( a + l ) Surface Area

12 Surface Area of a Pyramid

13 Surface Area

14 πr2 Surface Area

15 2πr / 2πl = r/l Surface Area

16 πl2 r / l = l π r Surface Area

17 πr ( r + l ) Surface Area

18 Surface Area

19 Example

20 Example

21 Example

22 Example

23 Example

24 Example

25 Surface Area - Example

26 Practice Problems

27 Practice Problems

28 Practice Problems

29 Practice Problems

30 Practice Problems

31 Practice Problems

32 Practice Problems

33 Practice Problems

34 Practice Problems

35 Practice Problems

36 Practice Problems

37 Practice Problems

38 Pages 540 – 543 2 – 20 even, 26, 32, 62 Homework


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