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Chapter 12 12.7 Similar Solids Two Solids with equal ratios of corresponding linear measurements Ratios Not Equal Not Similar Ratios equal Solids are.

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Presentation on theme: "Chapter 12 12.7 Similar Solids Two Solids with equal ratios of corresponding linear measurements Ratios Not Equal Not Similar Ratios equal Solids are."— Presentation transcript:

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2 Chapter 12 12.7 Similar Solids

3 Two Solids with equal ratios of corresponding linear measurements Ratios Not Equal Not Similar Ratios equal Solids are similar

4 Determine if the following solids are similar if so determine the scale factor Ratios not equal Solids not similar Yes: Scale Factor =

5 Theorem 12.13 Similar Solids Theorem If two solids have a scale factor of a:b then: –Corresponding area have a ratio of a 2 :b 2 –The corresponding volumes have a ratio of a 3 :b 3 Example: If two similar solids have a scale factor of 4:5, then –The ratio of their surface areas is 16:25 –The ratio of their volumes is 64:125

6 The solid is similar to a larger solid with the given scale factor. Find the surface area S of the larger solid Surface Area 1.surface area ratio = 2.Set up the proportion and solve

7 The solid is similar to a larger solid with the given scale factor. Find the volume V of the larger solid Volume 1.Volume ratio = 2.Set up the proportion and solve

8 The solid is similar to a larger solid with the given scale factor. Find the surface area S of the larger solid Surface Area 1.surface area ratio = 2.Set up the proportion and solve

9 The solid is similar to a larger solid with the given scale factor. Find the volume V of the larger solid Volume 1.Volume ratio = 2.Set up the proportion and solve

10 The solid is similar to a larger solid with the given scale factor. Find the surface area S of the larger solid Surface Area 1.surface area ratio = 2.Set up the proportion and solve

11 The solid is similar to a larger solid with the given scale factor. Find the volume V of the larger solid Volume 1.Volume ratio = 2.Set up the proportion and solve

12 The solid is similar to a larger solid with the given scale factor. Find the surface area S of the larger solid Surface Area 1.surface area ratio = 2.Set up the proportion and solve

13 The solid is similar to a larger solid with the given scale factor. Find the volume V of the larger solid Volume 1.Volume ratio = 2.Set up the proportion and solve

14 Homework #69 Pg 769-772 10-24 even, 25-29


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