2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
6^3 = 216
7^3 = 343
8^3 = 512
9^3 = 729
10^3 = 1000
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The integer cubes with cubes less than 2000 are: 13 = 1 23 = 8 33 = 27 43 = 64 53 = 125 63 = 216 73 = 343 83 = 512 93 = 729 103 = 1000 113 = 1331 123 = 1728
100 is a perfect square of 10.The square root of 1000 is 31.6blahblahblah, so the square of 31 is less than 1000 and the square of 32 is more than 1000.That means the perfect squares between (not including) 100 and 1000 are the squares of 11 through 31, a total of 21 different values.
1000 - 1 = 999
1000 less than 1416
There are two single-digit numbers less than 10 which are cubes of whole numbers. These are 13 (one cubed = 1) and 23 (two cubed = 8).