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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

7. Areas and Volumes of Similar Solids

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Exercise 8 Page 746

Similar solids have the same shape and all of their corresponding dimensions are proportional. The ratio of corresponding linear dimensions of two similar solids is the scale factor.

No

Practice makes perfect

Similar solids have the same shape and all of their corresponding dimensions are proportional. The ratio of corresponding linear dimensions of two similar solids is the scale factor. With this in mind, we will consider the given cones to determine whether they are similar or not.

Let's see whether the corresponding linear dimensions are proportional.

6/4 ? =16/12

a/b=.a /2./.b /2.

3/2 ? =16/12

a/b=.a /4./.b /4.

3/2 ≠ 4/3 *

Since 32≠ 43, the corresponding linear dimensions are not proportional and therefore the pyramids are not similar.

Subchapter links

Lesson Check p.745

Practice and Problem-Solving Exercises p.746-749

Standardized Test Prep p.749

Mixed Review p.749