Well, darling, let's break it down for you. The cube root of 100 is 5, and the cube root of 400 is 7. So, the cube numbers between 100 and 400 are 125 (5^3), 216 (6^3), and 343 (7^3). Voilà!
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There are 300 whole numbers between 100 and 400, inclusive. To find this, you subtract 100 from 400 to get the total range of numbers (400 - 100 = 300). Then, since we're considering whole numbers, we add 1 to include the endpoints (400 and 100). Therefore, there are 300 whole numbers between 100 and 400.
To find a cube number between 400 and 600, we need to calculate the cube root of the two limits. The cube root of 400 is approximately 7.37, and the cube root of 600 is approximately 8.66. Therefore, the cube numbers between 400 and 600 are the cubes of integers between 8 and 7, inclusive. The cube of 8 is 512, which falls within the range specified.
300.
216, 343
Only 8 as, 83 = 512 Note that 73 = 343 and 93 = 729