GeometrySurfaceAreaMsMcCobb.pptVIP

* Geometry Chapter 12 13 Surface Area Ms. McCobb 12-12 Three-Dimensional Figures and Nets 12-34 Surface Areas of Prisms and Cylinders 12-56 Surface Areas of Pyramids and Cones 13-1 Volumes of Prisms and Cylinders 13-2 Volumes of Pyramids and Cones 12-713-3 Surface Areas and Volumes of Spheres 12-12 Three-Dimensional Figures and Nets A net is a two-dimensional pattern that you can fold to form a three-dimensional figure. faces edge vertex A polyhedron is a three-dimensional figure whose surfaces are polygons. The polygons are the faces of the polyhedron. An edge is a segment that is the intersection of two faces. A vertex is a point where edges intersect. 12-34 Surface Areas of Prisms and Cylinders A prism is a polyhedron with two congruent, parallel bases. The other faces are lateral faces. A prism is named for the shape of its bases. An altitude of a prism is a perpendicular segment that joins the planes of the bases. The height h of the prism is the length of an altitude. Like a prism, a cylinder has two congruent parallel bases. The bases of a cylinder are circles. An altitude of a cylinder is a perpendicular segment that joins the planes of the bases. The height h of a cylinder is the length of an altitude. Lateral and Surface Areas of a Right Prism Lateral and Surface Areas of a Right Cylinder Lateral and Surface Areas of a Right Prism Lateral Area Surface Area L = Ph T = Ph + 2B Lateral and Surface Areas of a Right Cylinder L = 2Πrh T = 2 Πrh + 2 Πr2 Lateral Area Surface Area 12-56 Surface Areas of Pyramids and Cones Lateral and Surface Areas of a Regular Pyramid Lateral Area Surface Area L = ?Pl T =?Pl + 2B Lateral and Surface Areas of a Right Cone Lateral Area Surface Area L = Πrl T = Πrl + Πr2 13-1 Volumes of Prisms and Cylinders Volume of a Prism example V = Bh Volume of a Cylinder example V = Πr2 h 13-1 Volumes of Pri