26txleto 26txleto

24-04-2020
Mathematics

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If the ratio of surface areas of 2 similar figures is 144/25 ; What is the ratio of their volumes?
Please explain how to solve this also :)

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PollyP52 PollyP52

24-04-2020

Answer:

1728/ 125

Step-by-step explanation:

The ratio of corresponding lengths of the figures = ratio of the square root of their areas.

So ratio of lengths = 12/5.

Now volume is 3 dimensional so the ratio is the cube of the lengths

= 12^3/5^3

= 1728/ 125.

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