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Volumes of Similar Figures

Volumes of Similar Figures. Notes 18 – Section 12.8. Essential Learnings. Students will understand and be able to determine volumes of similar figures and spheres. Similar Solids. If two similar solids have a scale factor of a : b then ratios of volumes: a 3 :b 3. Example 1.

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Volumes of Similar Figures

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  1. Volumes of Similar Figures Notes 18 – Section 12.8

  2. Essential Learnings • Students will understand and be able to determine volumes of similar figures and spheres.

  3. Similar Solids • If two similar solids have a scale factor of a:b then ratios of volumes: a3:b3

  4. Example 1 • Given a scale factor of 2:3, find the ratio of the volumes. Ratio of volumes Scale Factor

  5. Example 2 The heights of two similar prisms are in the ratio of 3:4 . If the volume of the smaller prism is 60 in3, what is the volume of the larger prism? Round to 2 decimal places.

  6. Example 3 Two cubes have surface areas of 72 square feet and 98 square feet. What is the ratio of the volume of the small cube to the large cube? Reduce fraction

  7. Assignment p. 883: 3, 4, 10 –16 Quiz - Friday Mastery Assignment – Friday

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