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Harley Cassin

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โˆ™ 3y ago
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โˆ™ 14y ago

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Explanation

A perfect cube is an integer for which there exists an integer, n, such that n3 equals that number. It is easy to see that n3 is a strictly increasing number for positive n (which simply means that as n gets bigger, n3 gets bigger).

13=1

23=8

33=27

43=64

These are the only perfect cubes between 1 and 80. The next perfect cube is 125 (=53) and all other positive perfect cubes are larger than this.

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Q: How many perfect cubes are there from 1-80?
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