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Section 12-5

Section 12-5. Areas and Volumes of Similar Solids. Similar solids. Solids that have the same shape but not necessarily the same size. How to tell if solids are similar:. Determine whether the bases are similar. See if corresponding lengths are proportional. Think Scale factor!. Questions:.

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Section 12-5

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  1. Section 12-5 Areas and Volumes of Similar Solids

  2. Similar solids • Solids that have the same shape but not necessarily the same size.

  3. How to tell if solids are similar: • Determine whether the bases are similar. • See if corresponding lengths are proportional. • Think Scale factor!

  4. Questions: • Are all spheres similar? • Are all right cylinders similar? • Are all cubes similar? Yes No Yes

  5. The ratio of the base areas, of the lateral areas, and of the total areas is • The ratio of the volumes is Theorem 12-11 • If the scale factor of two solids is , then • The ratio of corresponding perimeters is

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