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Surface Areas of Pyramids and Cones
Objective: Learn to find and solve for the surface areas of pyramids and cones
Surface Areas of Pyramids
Pyramid – 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).
Altitude – altitude of a pyramid the perpendicular segment from the vertex to the plane of the
base.
Height (h) - the length of an altitude
Regular Pyramid – whose base is a regular polygon and whose lateral faces are congruent isosceles
triangles.
Slant Height (l ) – the length of the altitude of a lateral face of the pyramid.
Surface Areas of Cones
Cone – is “pointed” like a pyramid but its base is a circle.
Right Cone – the altitude is a perpendicular segment from the vertex to the center of the base.
Height (h) - the length of an altitude
Slant Height (l ) – the distance from the vertex to a point on the edge of the base.