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That would depend on how you define "change" and "sugar cube". If moving a sugar cube changes it, since you could move any sugar cube to an uncountable number of other locations, such a sugar cube could change in an infinite number of ways. If you define "sugar cube" as a six sided solid of glucose, you could substitute any one or more of several billion atoms for its isotope, and change it into a different sugar cube. If you allow chemical reactions, as in "how many ways can the contents of a sugar cube be used to make another substance?", then again, there are an infinite number if potential transformations. If you were to hurl a particular sugar cube into the ocean or the sun, in a thousand years, atoms from that cube would be found in several billion organisms.

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Q: How many ways can a sugar cube change?
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What are three ways to make sugar cube dissolve more quickly in water?

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