only cube that is one less than a square. answer is from 1-31
actually, wouldn't any fraction's cube be less than its square?
i.e.:
(1/2)^3 = 1/8
(1/2)^2 = 1/4
1/8 < 1/4
julie the answer is from 1 to 31 not a fraction
8
its cubed root is 2 and 3 squared = 9
To find the cube that is one less than a square, we need to look for a number that satisfies the following condition: the cube of the number minus 1 should be a perfect square.
To solve this, we can try each number from 1 to 31 and check if its cube minus 1 is a perfect square.
Let's go through each number from 1 to 31:
For 1, the cube of 1 is 1, and 1 minus 1 is 0, which is not a perfect square.
For 2, the cube of 2 is 8, and 8 minus 1 is 7, which is not a perfect square.
For 3, the cube of 3 is 27, and 27 minus 1 is 26, which is not a perfect square.
For 4, the cube of 4 is 64, and 64 minus 1 is 63, which is not a perfect square.
For 5, the cube of 5 is 125, and 125 minus 1 is 124, which is not a perfect square.
For 6, the cube of 6 is 216, and 216 minus 1 is 215, which is not a perfect square.
For 7, the cube of 7 is 343, and 343 minus 1 is 342, which is not a perfect square.
For 8, the cube of 8 is 512, and 512 minus 1 is 511, which is not a perfect square.
For 9, the cube of 9 is 729, and 729 minus 1 is 728, which is not a perfect square.
For 10, the cube of 10 is 1000, and 1000 minus 1 is 999, which is not a perfect square.
We continue this process until we find a number that satisfies the condition.
For 11, the cube of 11 is 1331, and 1331 minus 1 is 1330, which is not a perfect square.
For 12, the cube of 12 is 1728, and 1728 minus 1 is 1727, which is not a perfect square.
For 13, the cube of 13 is 2197, and 2197 minus 1 is 2196, which is not a perfect square.
For 14, the cube of 14 is 2744, and 2744 minus 1 is 2743, which is not a perfect square.
For 15, the cube of 15 is 3375, and 3375 minus 1 is 3374, which is not a perfect square.
For 16, the cube of 16 is 4096, and 4096 minus 1 is 4095, which is not a perfect square.
For 17, the cube of 17 is 4913, and 4913 minus 1 is 4912, which is not a perfect square.
We continue this process until we find a number that satisfies the condition.
For 20, the cube of 20 is 8000, and 8000 minus 1 is 7999, which is not a perfect square.
For 21, the cube of 21 is 9261, and 9261 minus 1 is 9260, which is not a perfect square.
For 22, the cube of 22 is 10648, and 10648 minus 1 is 10647, which is not a perfect square.
For 23, the cube of 23 is 12167, and 12167 minus 1 is 12166, which is not a perfect square.
For 24, the cube of 24 is 13824, and 13824 minus 1 is 13823, which is not a perfect square.
For 25, the cube of 25 is 15625, and 15625 minus 1 is 15624, which is not a perfect square.
For 26, the cube of 26 is 17576, and 17576 minus 1 is 17575, which is not a perfect square.
For 27, the cube of 27 is 19683, and 19683 minus 1 is 19682, which is not a perfect square.
For 28, the cube of 28 is 21952, and 21952 minus 1 is 21951, which is not a perfect square.
For 29, the cube of 29 is 24389, and 24389 minus 1 is 24388, which is not a perfect square.
For 30, the cube of 30 is 27000, and 27000 minus 1 is 26999, which is not a perfect square.
For 31, the cube of 31 is 29791, and 29791 minus 1 is 29790, which is not a perfect square.
As we can see, none of the numbers from 1 to 31 satisfy the condition. Therefore, there is no cube that is one less than a square within this range.