Fastest Way to find cube of any number | vedic maths tricks for fast calculation

Vedic Maths is a collection of techniques/sutras to solve mathematical problem sets in a fast and easy way.

Finding cube of the number plays a vital role in Mathematics, so it is useful to find quick ways to find the cube of the number. We will learn the Vedic trick which will help us finding the cube of numbers in quick way. To find the cube of numbers we are going to learn four types Vedic Tricks

By knowing the values below will help us solve the problems easily.

Number Square of a number Cube of a number
1 12 = 1 13 = 1
2 22 = 4 23 = 8
3 32 = 9 33 = 27
4 42 = 16 43 = 64
5 52= 25 53 = 125
6 62=36 63 = 216
7 72=49 73 = 343
8 82=64 83 = 512
9 92=81 93 = 729
10 102=100 103 = 1000
Type 1: Numbers starting with 1
(16)3
1) We consider 1 as 1st term and 6 as 2nd term, we will write the given term as it is i.e. 1 6
2) Square the 2nd term i.e. 62=36 and also cube the 2nd term i.e.=63=216 and write the values in 1st row i.e.
1 6 36 216
3) In 2nd row double the 2 middle terms (. i.e. is 2nd term and 3rd term) & write just
below 2nd & 3rd term.
1 6 36 216
12 72 (Doubled the value)
4) Add them vertically in column. carry forward the 10th places digit to next column
1 6 36 216
+ 12 72
3 12 21 (Carried forward)
4 0 9 6 (Answer)
(16)3=4,096

Type 2: Numbers Ending with 1
(61)3
1) We consider 6 as 1st term and 1 as 2nd term, we will write the given term as it is but in reverse order i.e. 6 1
2) Square the 1st term i.e. 62=36 and also cube the 1st term i.e.=63=216 and write the
values in 1st row i.e.
216 36 6 1
3) In 2nd row double the 2 middle terms (. i.e. is 2nd term and 3rd term) & write just
below 2nd & 3rd term.
216 36 6 1
72 12 (Doubled the value)
4) Add them vertically in column. carry forward the 10th places digit to next column
216 36 6 1
+ 72 12
10 1 (Carried forward)
226 9 8 1 (Answer)
(61)3=226,981

Type 4: Numbers having different digit
(32)3
1) We consider 3 as 1st term and 2 as 2nd term, Cube the 1st term and 2nd term
i.e. (3)3 =27 and (2)3=8
27 8
2) Square the 1st term i.e. 32=9 then multiply by 2nd term i.e.9×2=18
27 18 8
3) Square the 2nd term i.e. 22 =4 then multiply by 1st term i.e.4×3=12
27 18 12 8
4) In 2nd row double the 2 middle terms (. i.e. is 2nd term and 3rd term) & write just
below 2nd & 3rd term.
27 18 12 8
36 24 (Doubled the value)
5) Add them vertically in column. carry forward the 10th places digit to next column
27 18 12 8
+ 36 24
5 3 (Carried forward)
32 7 6 8 (Answer)
(32)3=32,768

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Artist: Jesse Gallagher

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