Chapter 12.3: Surface Area of Pyramids and Cones Flashcards
Pyramid
a polyhedron in which the base is a polygon and the lateral faces are triangles that have a common vertex.
Regular Pyramid
a pyramid is regular if its base is a regular polygon and of the segment from the vertex to the center of the base is perpendicular to the base.
Thm. 12.4 - Surface Area of a Regular Pyramid
the surface area, S, of a regular pyramid is S=B+.5Pl, where B is the area of the base, P is the perimeter of the base, and l is the slant height.
Circular Cone
a solid that has a circular base and a vertex that is not in the same plane as the base.
Right Cone
one in which the vertex lies directly above the center of the base.
Thm. 12.5 - Surface Area of a Right Cone
the surface area, S, of a right cone is S=3.14r2 + 3.14rl, where r is the radius of the base and l is the slant height of the cone.