1 / 22

12.3 Surface Area of a Pyramids and Cones

12.3 Surface Area of a Pyramids and Cones. Slant Height ( l ). Definition of a Regular Pyramids. A regular pyramid is a pyramid whose base is a regular polygon and whose vertex forms a segment with the center of the polygon perpendicular to its plane. Part of a Pyramid.

abel-spence
Download Presentation

12.3 Surface Area of a Pyramids and Cones

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. 12.3 Surface Area of a Pyramids and Cones Slant Height ( l )

  2. Definition of a Regular Pyramids A regular pyramid is a pyramid whose base is a regular polygon and whose vertex forms a segment with the center of the polygon perpendicular to its plane.

  3. Part of a Pyramid h is Height from base to vertex l is Slant height, The height of the triangle

  4. Theorem Surface Area of a Regular Pyramid B is for base Area P is for perimeter l is for Slant height

  5. Surface Area of a Regular Pyramid Let r = 3; h = 4 Find the Perimeter r is half the base edge

  6. Surface Area of a Regular Pyramid Let r = 3; h = 4 Find the Perimeter r is half the base edge Base edge is 2(3) = 6 Square perimeter 4(6) = 24 P = 24

  7. Surface Area of a Regular Pyramid Let r = 3; h = 4 ; P = 24 Find the Base Area

  8. Surface Area of a Regular Pyramid Let r = 3; h = 4 ; P = 24 ; B = 36 Find the Base Area Base edge is 6 Base Area = (6)2 B = 36

  9. Surface Area of a Regular Pyramid Let r = 3; h = 4 ; P = 24 ; B = 36 Find the Slant Height l Right Triangle

  10. Surface Area of a Regular Pyramid Let r = 3; h = 4 ; P = 24 ; B = 36 ; l = 5 Find the Slant Height l Right Triangle side legs 3 and 4 32 + 42 = l 2 9 + 16 = 25 = l 2 l = 5

  11. Surface Area of a Regular Pyramid Let r = 3; h = 4 ; P = 24 ; B = 36 ; l = 5

  12. Surface Area of a Regular Pyramid Let r = 4; h = ; P = 24 ; B = ; l = 9 Find the Base and Perimeter

  13. Surface Area of a Regular Pyramid Let r = 4; h = ; P = 24 ; B = ; l = 9 Find the Base and Perimeter

  14. Surface Area of a Regular Pyramid Let r = 4; h = ; P = 24 ; B = ; l = 9 Find the Surface Area

  15. Surface Area of a Regular Pyramid Let r = 4; h = ; P = 24 ; B = ; l = 9 Find the Surface Area

  16. Surface of a Cone Finding the Base is Easier, since it is a circle.

  17. Surface of a Cone Finding the Surface Area. r = 5, h = 12

  18. Surface of a Cone Finding the Surface Area. r = 5, h = 12; need l

  19. Surface of a Cone Finding the Surface Area. r = 5, h = 12; need l

  20. Surface of a Cone Finding the Surface Area. r = 5, h = 12; need l

  21. Homework Page 738-741 # 15 – 43 odd

  22. Homework Page 738-741 # 14 - 38 even, 44 - 46

More Related