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Homework Answers 5. 4624 mm 2 6. 576 cm 2 7. 121/16 (or 7.5625) in 2 12. 500/3 (or 166.6) = 524 ft 3 13. 288 = 905 cm 3 14. 1125/2 (or 562.5) = 1767 in 3 21. S.A. = 108 cm 2 and V = 108 cm 3 24. Choice C

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Areas and Volumes of Similar Solids Math 2 - Lesson 88 Mr. Lopez

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Similar Solids Solids are similar if they have the same shape and all their corresponding dimensions are proportional. The ratio of corresponding sides of two similar solids is called the similarity ratio. Ex: Are the two rectangular prisms similar? 3 2 3 6 6 4 2 4 3 6 10 4

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Area and Volumes of Similar Solids If the similarity ratio of two solids is a : b then The ratio of their corresponding areas is a 2 : b 2 The ratio of their corresponding volumes is a 3 : b 3 Ex: The ratio of two similar solids is 9 to 11. 1.What is the ratio of their surface area? 2.What is the ratio of their volumes?

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Area and Volumes of Similar Solids Conversely, if the lateral area of two similar solids is in the form a : b, then the similarity ratio is a : b Ex 2: The lateral area of two similar solids is in the form 36 to 81. What is the similarity ratio? Also, if the volume of two similar solids is in the form a : b, then the similarity ratio is 3 a : 3 b Ex 2: The volume of two similar solids is in the form 729 to 64. What is the similarity ratio?

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More Practice Find the similarly ratio of two cubes with volumes 729 cm 3 and 1331 cm 3. Two similar solids have lateral areas in the form of 144 to 64. What is the ratio of the volumes? The lateral areas of two similar paint cans are 25 cm 2 and 49 cm 2. If the volume of the larger paint can is 112 cm 3. What is the volume of the smaller paint can?

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Homework Answers 1. No11. V = 240 in 3 2. Yes 3:214. SA = 175 in 2 3. Yes 2:317. 6000 Toothpicks 4. No 7. 5:6 8. 6:7 9. 3:4 10. 2:5

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