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Geometry Notes Chapter 12 Pyramids Name ______________ Pyramid: a polyhedron in which the base is a polygon and the lateral faces are triangles with a common vertex. Vertex of a Pyramid: the common vertex of the lateral faces of a pyramid. Regular Pyramid A regular pyramid has a regular polygon for a base and the segment joining the vertex and the center of the base is perpendicular to the base. The lateral faces of a regular pyramid are congruent isosceles triangles. Slant Height: the height of a lateral face of the regular pyramid. (abbreviation lower case ) Height: distance from the vertex to the center of the base KEY FORMULAS FOR PYRAMIDS: Lateral Area: Surface Area: Volume: 1. Find the lateral area, surface area, and volume of the regular square pyramid. Lateral Area: ______________ Surface Area: _____________ Volume: __________________ 2. Find the lateral area, surface area, and volume of the regular hexagonal pyramid. Lateral Area: ______________ Surface Area: _____________ Volume: __________________ 3. Find the lateral area, surface area, and volume of the regular square pyramid. Lateral Area: ______________ Surface Area: _____________ Volume: __________________