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11-3 Surface Area of Pyramids and Cones

11-3 Surface Area of Pyramids and Cones. Boyd/Usilton. Types of Pyramids. A pyramid is a polyhedron in which one face (base) can be any polygon and the other faces (lateral) are triangles.

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11-3 Surface Area of Pyramids and Cones

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  1. 11-3 Surface Area of Pyramids and Cones Boyd/Usilton

  2. Types of Pyramids • A pyramid is a polyhedron in which one face (base) can be any polygon and the other faces (lateral) are triangles. • A regular pyramid is a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles.

  3. Types of Cones • A cone is a solid that has one base and a vertex that is not in the same plane as the base. • A right cone has an altitude that is a perpendicular segment from the vertex to the center of the base.

  4. Lateral and Surface Areas of Pyramids and Cones Pyramid L.A. = ½ pℒ p= perimeter of base ℒ = slant height S.A. = L.A. + B B= area of base Cone L.A.= ½ •2πr •ℒ or πrℒ S.A. = L.A. + B

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