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Surface Area of Pyramids and Cones Section 12.3

Surface Area of Pyramids and Cones Section 12.3. Goal – to find the surface area of a pyramid and the surface area of a cone. Pyramids & Cones. Pyramid – a polyhedron where the base is a polygon and the lateral faces are triangles with a common vertex.

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Surface Area of Pyramids and Cones Section 12.3

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  1. Surface Area of Pyramids and ConesSection 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone

  2. Pyramids & Cones Pyramid – a polyhedron where the base is a polygon and the lateral faces are triangles with a common vertex. Cone– a solid with a circular base and a vertex that is not in the same plane as the base.

  3. Pyramids are classified by the shapes of their bases

  4. Surface Area verses Lateral Area of a Pyramid The lateral area of a pyramid: LA = P = Perimeter of the base l = slant height • The surface area of a pyramid: • SA = B = Area of the base

  5. Example

  6. Surface Area verses Lateral Area of a Cone The lateral area of a cone: LA = r = radius of the base l= slant height • The surface area of a cone: • SA =

  7. Example

  8. Students

  9. Students

  10. Students

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