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11.7 Areas and Volumes of Similar Solids

11.7 Areas and Volumes of Similar Solids. Similar solids have the same shape, and all their corresponding dimensions are proportional. The ratio of corresponding linear dimensions of two similar solids is the scale factor . Any two cubes are similar, as are any two spheres.

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11.7 Areas and Volumes of Similar Solids

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  1. 11.7 Areas and Volumes of Similar Solids • Similar solids have the same shape, and all their corresponding dimensions are proportional. • The ratio of corresponding linear dimensions of two similar solids is the scale factor. • Any two cubes are similar, as are any two spheres.

  2. Identifying Similar Solids • Are the two rectangular prisms similar? If so, what is the scale factor of the first figure to the second figure?

  3. Areas and Volumes of Similar Solids • If the scale factor of two similar solids is a : b, then: • The ratio of their corresponding areas is a² : b². • The ratio of their corresponding volumes is a³ : b³.

  4. Finding the Scale Factor • The square prisms are similar. What is the scale factor of the smaller prism to the larger prism?

  5. More Practice!!!!! • Homework – Textbook p. 746 # 6 – 16 even.

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