The cube of a number is 100 times as large as the number itself. What is the number?

10

Step-by-step explanation:

The square of the number must be 100, because the square root of one hundred is ten.

If you square 2^2 = 4, you see the square is two times as big as the number itself. 3^2 is 9, so the square is 3 times as big as the number. So the pattern is that the number being squared is the same number that governs how many times as big the square is. So ten would have a square 10 times as big, which 100, and the cube would be 1,000, which 1,000/10 = 10