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Geometry Chapter 12 & 13 Surface Area Ms. McCobb. 12-1&2 Three-Dimensional Figures and Nets 12-3&4 Surface Areas of Prisms and Cylinders 12-5&6 Surface Areas of Pyramids and Cones 13-1 Volumes of Prisms and Cylinders 13-2 Volumes of Pyramids and Cones
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Geometry Chapter 12 & 13 Surface Area Ms. McCobb
12-1&2 Three-Dimensional Figures and Nets 12-3&4 Surface Areas of Prisms and Cylinders 12-5&6 Surface Areas of Pyramids and Cones 13-1 Volumes of Prisms and Cylinders 13-2 Volumes of Pyramids and Cones 12-7&13-3 Surface Areas and Volumes of Spheres
12-1&2 Three-Dimensional Figures and Nets A net is a two-dimensional pattern that you can fold to form a three-dimensional figure. faces 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. edge vertex
12-3&4 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 heighth 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 heighth 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 Lateral Area Surface Area L = 2Πrh T = 2 Πrh + 2 Πr2
Lateral and Surface Areas of a Regular Pyramid Lateral Area Surface Area L = ½Pl T =½Pl + 2B
Lateral and Surface Areas of a Right Cone Lateral Area Surface Area L = Πrl T = Πrl + Πr2
Volume of a Prism V = Bh example
Volume of a Cylinder V = Πr2 h example
Volume of a Pyramid V = ⅓Bh example
Volume of a Cone V = ⅓ Πr2h example
12-7&13-3 Surface Areas and Volumes of Spheres Find Subs T The 523