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 one year ago
If the scale factor of two similar solids is 3 : 11, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?
 one year ago
If the scale factor of two similar solids is 3 : 11, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?

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mathmate
 one year ago
Best ResponseYou've already chosen the best response.0Areas are proportional to the square of the ratios, and volumes, cubes. Example: scale factor: 2:5 ratio of areas: 2^2:5^2 =4:25 ratio of volumes : 2^3 : 5^3 = 8 : 125 This is because for areas, we multiply together two dimensional units, and for volumes, three.

mayankdevnani
 one year ago
Best ResponseYou've already chosen the best response.1Recall that if the linear dimensions of two similar solids are in ratio a:b, then their surface areas are in ratio a^2:b^2 and their volumes are in ratio a^3:b^3... Since the side lengths of two similar solids are in ratio 3:7, their volumes are in ratio 3^3:11^3 = 27:1331..... ok @sue101
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