SOLUTION: formula for finding number of numbers between two consecutive cube numbers. please let me know.

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Question 897300: formula for finding number of numbers between two consecutive cube numbers. please let me know.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Example, assuming the cubed numbers based on natural numbers,
6^3=216;
7^3=343.

The cube numbers are 216 and 343.

Another example, How many numbers between 9 and 6? There are 7 and 8, and these are TWO numbers, both between 9 and 6. 9-6=3, which is one too many; so 9-6-1=2, the quantity of numbers (whole) between 9 and 6.

Return to first example, 343-216-1=126 whole numbers between 7^3 and 6^3.
Try to symbolize this in variables.

Let n be a whole number. Two consecutive cubes based on n would be n%5E3 and %28n%2B1%29%5E3. The quantity of whole numbers between these two cubes is %28n%2B1%29%5E3-n%5E3-1, which you may simplify if desired.