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There are infinitely many cubes between any two numbers - no matter how close together they are. However, there may be a more useful answer in terms of "perfect" cubes:

43 = 64 < 100 < 53 = 125

and 83 = 512 < 600 < 93 = 729

So there are 4 perfect cubes in the range - those of 5 6, 7 and 8.

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Q: How many cubes are between 100 and 600?
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