-->
Cube
Method
1:We will explain with a exmple.
Ex:Find
the cube of 51 i.e. 51^3
Step
1:Cube ten's digit that means
5^3
125
Step
2: Compare the ratio
between Ten's Digit and Unit's Digit
that means compare 5 ratio with 1 i.e. 5:1
Now
we will write next digit to right hand side with ratio 5:1
125 25 5 1
------------First Row
Step
3:Now Double the digit 2nd and 3rd from right hand side
50 10
----------Second Row
Step
4:Add the First and Second Row
125 25 5 1
50 10
125 75 15 1
132(Add
Carry 7) 6(Carry
7) 5(Carrry 1 ) 1
i.e
51^3
= 132651
Method
2:We will explain with a exmple.
Ex:Find
the cube of 87 i.e. 87^3
First(Ten)
Digit =8
Second
(Unit)Digit=7
Step
1:
First
Row::Write down the Ten's
Digit Cube
Square Digit
8^3 8^2 8
512 64 8
Second
Row::Write down the unit's
Digit Digit
Square Cube
from leave one place from left
handside.
7 7^2 7^3
7 49 343
Third
Row::Multiply 2nd and 3rd place
of First row and Second row Then Add First
Row and Second Row.
512 64 8
*7 *49 343
512 448 392 343
Four
Row:Multiply by 3 (Because we
are doing cube) in the third row at 2nd and 3rd place digit.
512 448 392 343
*3 *3
512 1344 1176 343
658(Add
146) 5(Add
121 carry 146) 0(Add
34 and Carry 121) 3(carry
34)
i;e
87^3=658503