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15-11-2017
Mathematics

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The side lengths of two different cubes are 32cm and 48cm. What is the ratio of the volume of the smaller to the volume of the large (in simplest form)?

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15-11-2017

If the sides have a ratio of smaller to larger of a/b, then the ratio of their surface areas is a²/b², and the ratio of their volumes is a³/b³.

The sides have a ratio of 32/48 or 2/3, so then the ratio of their volumes is 2³/3³ = 8/27

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