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10-06-2021
Mathematics

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The sides of two cubes are in the ratio 2:5, what is the ratio of their volumes?

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sqdancefan sqdancefan

10-06-2021

9514 1404 393

Answer:

8 : 125

Step-by-step explanation:

The volume is proportional to the cube of the side lengths. Hence, the ratio of volumes is proportional to the cube of the ratio of side lengths.

v1 : v2 = (2 : 5)^3 = 2^3 : 5^3 = 8 : 125

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