The difference between squaring and cubing a number is

:: Taking the square root of 81 and then multiply by 4
:: Multiply by 2 and Multiply by 3
Taking the cube root of 8
:: Divide 81 by 2 :: Taking the cube root of 125
:: Taking the square root of 81 :: Taking the square root of 125
:: Divide 125 by 3
:: squaring has 2 factors of the base and cubing has 3 factors of the base

In mathematical terms, squaring a number means multiplying the number by itself (raising it to the power of 2), while cubing a number means multiplying the number by itself twice (raising it to the power of 3).

For example, if you square the number 4, you get 4 x 4 = 16. If you cube the number 4, you get 4 x 4 x 4 = 64.

Therefore, the key difference between squaring and cubing a number is the number of times the base number is multiplied by itself - squaring has 2 factors of the base, while cubing has 3 factors of the base.