1 / 10

Surface Area & Volume

Surface Area & Volume. OBJECTIVES Slices of 3-dimensional figures Nets of 3-D solids Lateral areas, surface areas,volumes of solids Properties of congruent & similar solids. 3-dimensional figures. You will use different math websites for visualizations of 3-D figures.

Download Presentation

Surface Area & Volume

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Surface Area & Volume OBJECTIVES Slices of 3-dimensional figures Nets of 3-D solids Lateral areas, surface areas,volumes of solids Properties of congruent & similar solids

  2. 3-dimensional figures You will use different math websites for visualizations of 3-D figures. • Take time to use these sites to help explain the material. • Refer back to them for formulas, detailed diagrams, and rotations • If the links are blocked by your firewall, copy the URL & paste it in the address on your homepage • Bookmark them or add to ‘favorites’ while you’re in this course.

  3. Websites for 3-dimensional geometry http://www.mathsisfun.com/platonic_solids.html http://www.mathsisfun.com/geometry/index.html http://mathforum.org/alejandre/workshops/polyhedra.html http://mathforum.org/library/drmath/sets/high_geom.html http://www.houseof3d.com/pete/applets/graph/index.html

  4. Nets & surface areas • Nets are ‘flattened’ 3-D figures– it’s the pattern to make the shape by folding. • Refer to the text for vocabulary and diagrams as well as the websites • Add areas of all non-overlapping sections of the net for each polygon for surface area of figure. http://www.mathsisfun.com/platonic_solids.html

  5. Surface area of prisms & cylinders • Refer to the websites and your text for diagrams and vocabulary: bases, lateral edges, altitude, prism & cylinder • Lateral area is the surface area minus the bases • Surface area includes both bases Right cylinder Regular prism L.A. = Ph = 2 π r h S.A. = Ph+2π r2 = 2 π r h + 2π r2 L.A. = P h S.A. = P h + 2B

  6. Surface areas of pyramids & cones http://www.mathsisfun.com/geometry/pyramids.html • Refer to the websites and your text for diagrams and vocabulary: base, vertex, lateral faces & edges, altitude, and slant height. • Refer to these resources for formulas

  7. Volume of prisms & cylinders • Right prisms: Volume = B • h, where B = area of base & h = height • Right cylinder: Volume = B • h = π r 2h

  8. Volume of pyramids & cones • Volume of Right pyramids: V = • Volume of right cone: V = Cavalarieri’s Principle: 2 solids of same height & same cross-sectional area have the same volume.

  9. Surface area & volume of spheres • Refer to text for vocabulary • Surface Area = 4 π r 2 • Volume =

  10. Congruent & similar solids 2 solids are congruent if: 2 solids are similar: if ratio of 2 solids are a : b, then surface area ratio – a 2 : b2 volume ratio – a 3 : b3

More Related