81
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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.
100
There are a total of 5 positive three-digit perfect cubes that are even. To find this, we first determine the range of three-digit perfect cubes, which is from 46 to 96. Then, we identify the even perfect cubes within this range, which are 64, 216, 512, 729, and 1000.
56 2,2,2,7 perfect cubes=1,8
26
Between the two numbers there are only two.