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Pyramids

Pyramids. Nonna Batrakova , Max Huhn , Sharon Kung, Kya McIntyre, Martina Romero- Aros , Judy Pudder. Warm Up 3/12/14. Define a pyramid in your own words!. A pyramid is a polyhedron with one polygon serving as the base, and three or more triangles serving as the lateral faces.

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Pyramids

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  1. Pyramids NonnaBatrakova, Max Huhn, Sharon Kung, Kya McIntyre, Martina Romero-Aros, Judy Pudder

  2. Warm Up 3/12/14 Define a pyramid in your own words! A pyramid is a polyhedron with one polygon serving as the base, and three or more triangles serving as the lateral faces.

  3. Parts of a Pyramid Vertex of the Pyramid The single vertex that all the lateral faces share Altitude The perpendicular segment from the vertex to the base. The length of the altitude is called the height Lateral Edge The intersection of two lateral faces Lateral Face(s) Choices: Vertex Base Base Edge Lateral Face Lateral Edge Altitude Base Base Edge The edge that a lateral face has in common with the base.

  4. Parts of a Regular Pyramid *Regular Pyramid a pyramid with a regular polygon as its base and isosceles triangles as the lateral faces slant height length of the altitude of the lateral face of a regular pyramid **only for regular pyramids Altitude The perpendicular segment from the vertex to the base. The length of the altitude is called the height

  5. Naming pyramids < Its as simple as that! *also counts for letter names* This type of pyramid is commonly seen. Can anyone tell me what the name of it is?

  6. Finding Surface Area To calculate the surface area of a pyramid, you must calculate the area of all the faces and then add them together Finding the surface area of a regular pyramid is less time consuming! Get your index card ready for the time saving formula! 7.3.1. Surface Area of a Regular Pyramid The surface area, S, of a regular pyramid with lateral area L, base area B, perimeter of base p, and slant height l is: S=L+B or S= ½ lp+B *lateral area- total area of all the lateral faces added together. The lateral area can be found by L=½ lp.

  7. S=L+B or S= ½ lp+B Find the surface area of this regular square pyramid. Slant Height- 4 Base Edge- 6

  8. Volume of a pyramid The formula for finding the volume of a prism is V=Bh. Keep that in mind as you look at the relationship between this triangular prism and these pyramids: 7.3.2. Volume of a pyramid The volume, V, of a pyramid with height h and base area B is: V= 1/3Bh

  9. V= 1/3Bh Find the volume of this regular square pyramid. Base Edge- 6 Height- 5

  10. Activity!!!

  11. Cool Down 3/12/14 Define a pyramid in your own words!

  12. Homework Pages 449-450 18-20E, 24-32E YOU GOT THIS!!!

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