# Cube by Column method

For finding the cube by column method use the following formula:-
(a + b)
3 = a 3 + 3a 2 b + 3ab 2 + b 3
In this method, first find the 2 digits of a number.

Example:
1) 32
3 , so here the two digits are 3 and 2.
2) 46
3 , two digits are 4 and 6.

Examples:-

1) Find 24
3 .
Solution: Here two digits are 2 and 4.
a = 2, and b = 4. By using the column-method:-
 Column I Column II Column III Column IV a3 3 x a2 x b 3 x a x b2 b3 23 = 8 + 5 3 x 22 x 4 = 48 + 10 3 x 2 x 42 = 96 + 6 43 = 64 13 58 102 4 13 8 2 4

�~ez_circ~� 24
3 = 13824
_________________________________________________________________
2) Find 42
3 .
Solution: Here two digits are 4 and 2.
a = 4, and b = 2. By using the column-method:-

 Column I Column II Column III Column IV a3 3 x a2 x b 3 x a x b2 b3 43 = 64 + 10 3 x 42 x 2 = 96 + 4 3 x 4 x 22 = 48 + 0 23 = 8 74 100 48 8 74 0 8 8

�~ez_circ~� 42
3 = 74088

Cube - Cube Roots

�~ez_euro~� Cube of Numbers
�~ez_euro~� Perfect- Cube
�~ez_euro~� Properties of - Cube
�~ez_euro~� Cube by Column method
�~ez_euro~� Negative numbers-cube
�~ez_euro~� Cube - of Rational numbers
�~ez_euro~� Cube-Root
�~ez_euro~� Finding cube-root by Prime Factorization
�~ez_euro~� Cube-root of Rational numbers
�~ez_euro~� Estimating cube-root

From column method to Exponents