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Length, Area and Volume Ratios

Length, Area and Volume Ratios. Length Ratios. How many dimensions is length? What are some examples of lengths that we measure in polygons and solids? We have already been quizzed on length ratios…for example a to b would be written as?. Area Ratios. How many dimensions is area?

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Length, Area and Volume Ratios

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  1. Length, Area and Volume Ratios

  2. Length Ratios • How many dimensions is length? • What are some examples of lengths that we measure in polygons and solids? • We have already been quizzed on length ratios…for example a to b would be written as?

  3. Area Ratios • How many dimensions is area? • What are some examples of areas that we measure in polygons and solids? • So the ratios of two areas can be written as…

  4. Volume Ratios • How many dimensions is volume? • What are some examples of volumes that we measure in solids? • So volume ratios are written as…

  5. Summary – Length, Area and Volume Ratios • For any two similar figures with corresponding lengths a and b, the ratios are as follows:

  6. Example 1 • The ratio of the circumferences of two circles is 5:7. • Find the ratio of their radii • Find the ratio of their areas • If the area of the smaller circle is 87.5 ft2, what is the area of the larger circle?

  7. Example 2 • Two pyramids are similar. The volume of one pyramid is 216ft3 and the volume of the second is 512ft3. • What is the ratio of their volumes? • What is the ratio of their heights? • What is the ratio of their base areas?

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