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# Ch5.5 & 5.6 3D Figures and Surface Areas

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### Ch5.5 & 5.6 3D Figures and Surface Areas

1. 1. Ch5.5_5.6_ 3DFiguresAreas.notebook November 22, 2011 Chapter 5.5 and 5.6 3D Figures Surface Areas
2. 2. Ch5.5_5.6_ 3DFiguresAreas.notebook November 22, 2011 Polygon: two dimensional shape Polyhedron: three dimensional figure Face: flat surface on the figure 6 faces Vertex: corner of the figure 8 vertices Edge: where 2 faces meet a 12 edges ul o rm s  F r Eul e F + V ­ E = 2 6    +   8  ­  12  =  2 How many faces, vertices, and edges does each 3D figure have? Trangular Prism F + V ­ E = 2 Pentagonal Pyramid F + V ­ E = 2
3. 3. Ch5.5_5.6_ 3DFiguresAreas.notebook November 22, 2011 SURFACE AREA FORMULAS To find the SA of a solid, add up the areas of each face = l = length Rectangular Prism w = width h = height Opposite faces are congruent 4 2 lw + 2 lh + 2 wh or 6 1 2 (lw + lh + wh) Regular Triangular Prism 2 congruent Δ bases 3 congruent lateral faces 3 3 2 5 3 Regular Pyramid 1 base congruent Δ faces 1 6 B +( 2 bh) n B = area of base b = base of Δ 5 5 h = height of Δ n = # of Δs Cylinder 2 circular bases 1 lateral surface 2πr2 + 2πrh 8 Area of bases + circumference x height 2 Cone 1 circular base 1 lateral surface 7 πr2 + πrs s = slant height 3 Sphere 4πr2 5 12 6
4. 4. Ch5.5_5.6_ 3DFiguresAreas.notebook November 22, 2011 Page 226 1 ­ 15