# To Find the Cube of a two Digit Number (Alternative Method)

For your knowledge :

Let us find the cube of two digit number in the same way asÂ the square of the two digit number.** **We make use of the identity (a + b)^{3}Â = a^{3} + 3a^{2}b + 3ab^{2} + b^{3}.

LetÂ â€˜*a*â€™ be the tens digit of the number and â€˜*b*â€™ be the units digit of the number.

To cube the two digit number we make four columns for a^{3}, 3a^{2}b, 3ab^{2} and b^{3}.

Consider the number 35. To find the cube of 35 we take a = 3 and b = 5.

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Therefore 35^{3} = 42875.

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Example

Find the cube of 12 and 26.

Solution

Cube of 12

Take *a* = 1 and *b* = 2.

Therefore 12^{3}Â = 1728.

Take *a* = 2 and *b* = 6.

Therefore 26^{3} = 17576.