Goal 1: To find the surface area of a pyramid Goal 2: To find the surface area of a cone.

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Presentation transcript:

Goal 1: To find the surface area of a pyramid Goal 2: To find the surface area of a cone

A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces) are triangles that meet at a common vertex (called the vertex of the pyramid). You can name a pyramid by the shape of its base. The altitude of a pyramid is the perpendicular segment from the vertex to the plane of the base. The length of the altitude is the height h of the pyramid.

A regular pyramid is a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles. The slant height l is the length of the altitude of a lateral face of the pyramid.

Formula Sheet Formula Sheet

A cone is "pointed" like a pyramid, but its base is a circle. In a right cone, the altitude is a perpendicular segment from the vertex to the center of the base. The height h is the length of the altitude. The slant height is the distance from the vertex to a point on the edge of the base.

Assignment Assignment: pp #1-20, 23-28, 31-33