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Surface Area and Volume of Similar Figures Section 12.7
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Definition O 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 O 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 O If two similar solids have a scale factor of a : b, then corresponding areas (and surface areas) have a ratio of a 2 : b 2 and corresponding volumes have a ratio of a 3 : b 3.
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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. Find the scale factor of Solid I to Solid II.
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Practice O p.850: 3-7, 12-15
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