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
a^{3}
3 x a^{2} x b
3 x a x b^{2}
b^{3}
2^{3} = 8 + 5
3 x 2^{2} x 4 = 48 + 10
3 x 2 x 4^{2} = 96 + 6
4^{3} = 64
13
58
102
4
13
8
2
4
∴ 24^{3} = 13824
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2) Find 42^{3}.
Solution: Here two digits are 4 and 2.
a = 4, and b = 2.
By using the column-method:-
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