10-8 Areas and Volumes of Similar Solids

# 10-8 Areas and Volumes of Similar Solids - solids is a:b...

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Area & Volume of Similar Solids Section 10-8

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Similar Solids – solids that have the same shape but not necessarily the same size. If they have a scale factor of 1, the solids are congruent.
Two solids are congruent iff: the corresponding angles are congruent, the corresponding edges are congruent, the corresponding faces are congruent, and the volumes are equal.

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Theorem 13.1 If the scale factor of two similar

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Unformatted text preview: solids is a:b, then: 1. The ratio of corresponding perimeters is a:b. 2. The ratios of the base areas, of the lateral areas, and of the total areas are a 2 :b 2 . 3. The ratio of the volumes is a 3 :b 3 . Joke Time What did the baby acorn say when he grew up? Geometry (Gee, I’m a tree!) Why did the cookie go to the hospital? He was feeling crumby....
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10-8 Areas and Volumes of Similar Solids - solids is a:b...

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