Cubes and Cube Roots-Notes

1.   When we multiply a number by itself three times, the product so obtained is called the perfect cube of that number.

2.   There are only 10 perfect cubes from 1 to 1000.

3.   Cubes of even numbers are even and those of odd numbers are odd

4.   The cube of a negative number is always negative.

5.   If the digit in one�fs place of a number is 0, 1, 4, 5, 6 or 9, then its cube will end in the same digit.

6.   If the digit in one�fs place of a number is 2, then its cube will end in 8 and vice-versa.

7.   If the digit in one�fs place of a number is 3, then its cube will end in 7 and vice-versa.

8.   If the prime factor of a number can not be made into groups of 3, it is not a perfect square.

9.   The symbol 3�� denotes the cube root of a number.