This is the "12.7: Similar Solids" page of the "Geometry Chapter 12" guide.
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Geometry Chapter 12   Tags: geometry, mahlman, math  

Last Updated: Feb 19, 2014 URL: http://libguides.mpsaz.net/content.php?pid=105580 Print Guide RSS Updates

12.7: Similar Solids Print Page
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Theorems

Similar Solids: Solids that have the same shape but not the same size.

If the scale factor of two similar solids is a:b , then (1) the ratio of corresponding perimeters is a:b (2) the ratio of the base areas, and of the total areas is a2:b(3) the ratio of the volumes is a3:b3

 

The scale factor is 5:10

a. Ratio of base perimeters = 5:10

b. Ratio of lateral areas = 52:102

C. Ratio of the volumes = 53:103

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