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Published byTheodore Fitzgerald Modified over 7 years ago
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Surface Area and Volume of Similar Figures
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Definition A polyhedron is a solid that is bounded by polygons.
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Tell whether each figure below is a polyhedron.
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Definition Two solids of the same type with equal ratios of corresponding linear measures, such as heights or radii, are called similar solids.
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Tell whether each given right rectangular prism is similar to the right rectangular prism shown below.
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Similar Solids Theorem
If two similar solids have a scale factor of a : b, then corresponding areas (and surface areas) have a ratio of a2 : b2 and corresponding volumes have a ratio of a3 : b3.
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The pyramids are similar
The pyramids are similar. Pyramid P has a volume of 1000 cubic inches and Pyramid Q has a volume of 216 cubic inches. Find the scales factor of Pyramid P to Pyramid Q.
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Solid I is similar to Solid II
Solid I is similar to Solid II. Find the scale factor of Solid I to Solid II.
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Assignment pg. 850 #3-23 all
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