Surface Area of Pyramids and Cones

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Presentation transcript:

Surface Area of Pyramids and Cones 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. Cone– a solid with a circular base and a vertex that is not in the same plane as the base.

Pyramids are classified by the shapes of their bases

Surface Area versus 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

Example

Surface Area versus 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 =

Example

Students

Students

Students