Vedic Math Tricks For Cube

Vedic Mathematics is an ancient system of calculation based on simple yet powerful principles. It transforms complicated mathematical operations into easy, fast, and mentally manageable steps. One of the most impressive applications of Vedic Math is the ability to find cubes quickly without a calculator.

Outlines:

Vedic Math

• What Is Vedic Mathematics?
• How important is Vedic math in today’s modern world?

Understanding the Concept of Cube

• What is a Cube in Mathematics?
• Cubes 1 to 10
• Importance of Learning Cube Tricks 

Vedic Math Tricks For Cube

• Trick 1: Numbers starting with 1
• Trick 2: Numbers Ending with 1
• Trick 3: Numbers Having the Same Digit
• Trick 4: Numbers having different digits

Conclusion

FAQs

Vedic Math

In my blog post, we learned about Vedic mathematics and its sutras (formulas), and the goal was to introduce the concept to my viewers. In my blog post, I focused on learning how to implement this technique in various mathematical concepts. Applying Vedic math in solving multiplication problems of complex numbers made multiplication so easy that we could solve 4-5 digit problems in less than a minute, and that too without using a calculator. Today, my post focused on learning how to find the cube of any number using the Vedic trick.

Previous Related Articles Links

1. Vedic Math and Its Tricks

https://mathodeenworld.blogspot.com/2025/11/vedic-math-and-its-tricks.html

2. All Vedic Math Tricks for Addition and Subtraction

https://mathodeenworld.blogspot.com/2025/11/all-vedic-math-tricks-for-addition-and.html

3. All Vedic Math Tricks for Multiplication

https://mathodeenworld.blogspot.com/2025/11/all-vedic-math-tricks-for-multiplication.html

4. Vedic Math Tricks for Square

https://mathodeenworld.blogspot.com/2025/11/vedic-math-tricks-for-square.html

In this article, you will learn step-by-step Vedic Math tricks for cubes from basic concepts to advanced mental calculation techniques. This guide is perfect for school students, competitive exam aspirants, teachers, and parents who want to make mathematics simple and enjoyable.

What Is Vedic Mathematics?

Vedic Mathematics is a collection of techniques derived from ancient Indian scriptures known as the Vedas. These methods are based on logical thinking and pattern recognition rather than long, traditional calculations.

How important is Vedic math in today’s modern world?

In modern times, many students are using Vedic Maths to prepare for competitive exams. Using this Vedic method, complex problems can be easily solved. Compared to general mathematics, Vedic mathematics offers students an edge they might not get from general mathematics.

In fact, Vedic Maths is so versatile that even NASA has applied certain concepts from Vedic Mathematics to artificial intelligence. Today, Vedic Maths is being taught in schools, and a special emphasis is placed on those students who wish to learn more about the subject.

Understanding the Concept of Cube

What Is a Cube in Mathematics?

A cube number is found when you multiply an integer (whole number) by itself and then by itself again.

Or

The cube of a number is obtained by multiplying the number by itself three times.

The notation for cubed is "³"; therefore, 4 cubed can be written as 4³.

4³= 4 cubed= 4x4x4= 64

64 is a cube number.

Formula:

n³ = n × n × n

Cubes 1 to 10

Number Cube Expression Calculation Result 1 (1)³ 1 × 1 × 1 1 2 (2)³ 2 × 2 × 2 8 3 (3)³ 3 × 3 × 3 27 4 (4)³ 4 × 4 × 4 64 5 (5)³ 5 × 5 × 5 125 6 (6)³ 6 × 6 × 6 216 7 (7)³ 7 × 7 × 7 343 8 (8)³ 8 × 8 × 8 512 9 (9)³ 9 × 9 × 9 729 10 (10)³ 10 × 10 × 10 1000

Importance of Learning Cube Tricks 

Fast calculation: Cube tricks help students find answers quickly without doing long multiplication.

Saves time: They are very useful in exams where time management is important.

Improves mental math: Regular practice makes mental calculation strong and smooth.

Builds confidence:  When students calculate faster, they feel more confident in math.

Better understanding of numbers: Cube tricks help students see number patterns clearly.

Reduces mistakes: Short methods lower the chances of calculation errors.

Helps in higher classes: These tricks make topics like algebra easier to understand later.

Increases focus: Practising tricks improves concentration and thinking ability.

Makes math enjoyable: Learning tricks turns math into a fun subject.

Useful in Vedic Mathematics: Cube tricks are an important part of the Vedic math methods.

Vedic Math Tricks For Cube

Trick 1: Numbers starting with 1

Examples:

Find (12)³

Solution:

Step 1

We consider 1 as the 1st term and 6 as the 2nd term.
We write the given number as it is:

1    2

Step 2

Square the 2nd term and also cube the 2nd term.

2² = 4, 2³ = 8

Write these values in the 1st row:

1     2     4     8

Step 3

In the 2nd row, double the two middle terms (i.e. 2nd term and the 3rd term)
And write them just below the respective terms:

2 × 2 = 4, 2 × 4 = 8

1     2     4     8

      4     8

Step 4

Add the numbers vertically column-wise and carry forward the tens digit to the next column:

      1     2     4     8

    +       4     8

                   1

      -----------------------------

       1    7     2     8

 (12)³ = 1728  Ans

Find (14)³

Solution:

Step 1

We consider 1 as the 1st term and 6 as the 2nd term.
We write the given number as it is:

1    4

Step 2

Square the 2nd term and also cube the 2nd term.

4² = 16, 4³ = 64

Write these values in the 1st row:

1     4     16     64

Step 3

In the 2nd row, double the two middle terms (i.e. 2nd term and the 3rd term)
And write them just below the respective terms:

2 × 4 = 8, 2 × 16 = 32

1     4     16     64

       8     32

Step 4

Add the numbers vertically column-wise and carry forward the tens digit to the next column:

      1     4     16     64

    +       8     32

         1        5         6                  (Carried forward)

      ---------------------------------

      2    7      4       4

Answer (14)³ = 2744

Find (16)³

Solution:
Step 1

We consider 1 as the 1st term and 6 as the 2nd term.
We write the given number as it is:

1    6

Step 2

Square the 2nd term and also cube the 2nd term.

6²=36 , 6³=216

Write these values in the 1st row:

1     6     36     216

Step 3

In the 2nd row, double the two middle terms (i.e. 2nd term and the 3rd term)
And write them just below the respective terms:

2×6=12, 2×36=72

1     6     36     216

      12    72              (Doubled the values)

Step 4

Add the numbers vertically column-wise and carry forward the tens digit to the next column:

      1     6     36     216

    +       12    72

         3         12       21                          (Carried forward)

      -------------------------------

      4      0     9      6

Answer (16)³=4096

Find (17)³

Solution:

Step 1

We consider 1 as the 1st term and 6 as the 2nd term.
We write the given number as it is:

1    7

Step 2

Square the 2nd term and also cube the 2nd term.

7² = 49, 7³ = 343

Write these values in the 1st row:

1     7     49     343

Step 3

In the 2nd row, double the two middle terms (i.e. 2nd term and the 3rd term)
And write them just below the respective terms:

2 × 7 = 14, 2 × 49 = 98

1     7     49     343

      14    98

Step 4

Add the numbers vertically column-wise and carry forward the tens digit to the next column:

      1     7      49     343

    +       14     98                   Carried forward)

          3        18       34

      ----------------------------------

      4      9     1      3

Answer  (17)³ = 4913

Find (19)³

Solution:

Step 1

We consider 1 as the 1st term and 6 as the 2nd term.
We write the given number as it is:

1    9

Step 2

Square the 2nd term and also cube the 2nd term.

9² = 81, 9³ = 729

Write these values in the 1st row:

1     9     81     729

Step 3

In the 2nd row, double the two middle terms (i.e. 2nd term and the 3rd term)
And write them just below the respective terms:

2 × 9 = 18, 2 × 81 = 162

1     9     81     729

      18    162

Step 4

Add the numbers vertically column-wise and carry forward the tens digit to the next column: 

      1     9      81     729

    +       18    162                         (Carried forward)

          5       31         72

      --------------------------------

      6      8      5       9

 Answer (19)³ = 6859

Practice Questions: 

Find(11)³  (13)³, (15)³, (18)³

This is one of the easiest and most popular Vedic Math tricks.

Trick 2: Numbers Ending with 1

Examples:

Find (61)³

Solution:

Step 1

We consider 6 as the 1st term and 1 as the 2nd term.
We write the given number in reverse order:

6     1

Step 2

Square the 1st term and also cube the 1st term:

6² = 36, 6³ = 216

Write these values in the 1st row:

216     36     6     1

Step 3

In the 2nd row, double the two middle terms (i.e. 2nd and 3rd terms)
Andrite them just below:

2×36=72,2×6=12

216     36     6     1

           72     12              (Doubled the values)

Step 4       

Add the numbers vertically column-wise and carry forward the tens digit to the next column:

216     36     6     1

           72    12

+10      1

---------------------------

226      9     8     1

Answer  (61)³ = 226,981

Find (71)³

Solution:
Step 1

We consider 7 as the 1st term and 1 as the 2nd term.
Write in reverse order:

7     1

Step 2

Square the 1st term and also cube the 1st term:

7² = 49, 7³ = 343
Write in 1st row:

343     49     7     1

Step 3

In the 2nd row, double the two middle terms (i.e. 2nd and 3rd terms)
And write them just below:
2 × 49 = 98, 2 × 7 = 14

343     49     7     1

          98     14

Step 4       

Add the numbers vertically column-wise and carry forward the tens digit to the next column:

343    49       7     1

          98      14

+14     2           

 -----------------------------

357      9       1     1

Answer (71)³ = 357,911

Find (81)³

Solution:
Step 1

We consider 7 as the 1st term and 1 as 2nd term.
Write in reverse order:

8     1

Step 2

Square the 1st term and also cube the 1st term:

8² = 64, 8³ = 512

Write in 1st row:

512     64     8     1

Step 3

In the 2nd row, double the two middle terms (i.e. 2nd and 3rd terms)
And write them just below:

2 × 64 = 128, 2 × 8 = 16

512     64     8     1

        128     16

Step 4       

Add the numbers vertically column-wise and carry forward the tens digit to the next column:

512     64     8     1

      128    16

+19       2      

 ---------------------------

531      4      4        1

Answer (81)³ = 531,441

Find (91)³

Solution:
Step 1

We consider 7 as the 1st term and 1 as 2nd term.
Write in reverse order:

9     1

Step 2

Square the 1st term and also cube the 1st term:

9² = 81, 9³ = 729

Write in 1st row:

729     81     9     1

Step 3

In the 2nd row, double the two middle terms (i.e. 2nd and 3rd terms)
And write them just below:

2 × 81 = 1the 62, 2 × 9 = 18

729     81     9     1

        162     18

Step 4       

Add the numbers vertically column-wise and carry forward the tens digit to the next column:

729      81     9     1

          162     18

+24       2      

-----------------------------

753      5     7     1

Answer (91)³ = 753,571

Practice Questions

Find the cube using Vedic Maths:

(21)³, (31)³, (51)³

Type 3: Numbers Having Same Digit

Find (55)³

Solution:
Step 1

We consider 5 as the 1st term and 5 as the 2nd term.
Here, both digits arethe same, so we take any one digit.
Cube of 5 = 125, write 4 times:

125     125     125     125

Step 2

In the 2nd row, doudigitshe two middle terms (i.e. 2nd and 3rd terms) and write below:

125     125    125     125

           250     250            (Doubled the values)

Step 3

Add vertically column-wise and carry forward the tens digit to the next column:

125     125     125     125

           250      250

+41       38        12

-----------------------------------

166        3           7         5

Answer (55)³ = 166,375

Find (66)³

Solution:
Step 1

6 as 1st term and 6 as 2nd term.

Both digits same, so take any one digit.
Cube of 6 = 216, write 4 times:

216     216     216     216

Step 2

In the 2nd row, double the two middle terms (i.e. 2nd and 3rd terms) and write below:

216     216     216     216

          432     432

Step 3

Add vertically column-wise and carry forward the tens digit to the next column:

216     216     216     216

           432     432

+71      66       21

---------------------------------

287        4         9           6

Answer (66)³ = 287,496

Find (77)³

Solution:
Step 1

7 as 1st term and 7 as 2nd term. Cube of 7 = 343, write 4 times:

343     343     343     343

Step 2

In the 2nd row, double the two middle terms (i.e. 2nd and 3rd terms) and write below:

343     343     343     343

           686     686

Step 3

Add column-wise vertically and carry forwardthe  tens digit to the next column:

 343     343     343     343

          686     686

+113     106      34

----------------------------------

 456        5         3          3

 Answer (77)³  =456,533

Practice Questions

Find the cube using Vedic Maths:

(22)³ , (44) ³, (88)³

Type 4: Numbers having different digits

Examples                  
Find (32)³
Solution
Step 1

 We consider 3 as 1^st term and 2 as 2^nd term, Cube the 1^st term and 2^nd term
i.e.   

(3)³ =27     and         (2)³=8

                           27                                  8

Step 2

Square the 1^st   term i.e. 3²=9 then multiply by 2^nd term i.e.9×2=18
                               27         18                   8

Step 3

Square the 2^nd term i.e. 2² =4 then multiply by 1^st term i.e.4×3=12
                              27          18      12       8

Step 4

In 2^nd row double the 2 middle terms (. i.e. is 2^nd term and 3^rd term) & write just
below 2^nd & 3^rd term.
                             27          18       12      8
                                            36       24               (Doubled the value)

Step 5

Add them vertically ina column. carry forward the 10^th place digit to nthe nextcolumn
                                               27         18       12      8

                    +                                      36       24                
                                               5             3                               (Carried forward)

                                               32           7         6      8          
       

Answer (32)³=32,768

Find (43)³

Solution

Step 1

We consider 4 as 1^st term and 3 as 2^nd term, Cube the 1^st term and 2^nd term

i.e.   

(4)³ =64     and         (3)³=27
                           64                                  27

Step 2

Square the 1^st   term i.e. 4²=16 then multiply by 2^nd term i.e.16×3=48
                               64         48                 27

Step 3

Square the 2^nd term i.e. 3² =9 then multiply by 1^st term i.e.9×4=36
                              64          48     36      27

Step 4

In 2^nd row double the 2 middle terms (. i.e. is 2^nd term and 3^rd term) & write just
below 2^nd & 3^rd term.
                             64          48     36      27
                                           96     72               (Doubled the value)

Step 5

Add them vertically in a column. carry forward the 10^th place digit to nthe nextcolumn
                            64          48     36      27
                    +                    96     72               
                             15         11       2                       (Carried forward)
                             79           5       0        7     
       

Answer (43)³=79,507

Practice Questions

Find the cube using Vedic Maths:

(54)³, (65)³, (76)³

Conclusion

Vedic Math tricks for cubes turn complex calculations into memorable steps. With consistent practice, students can solve problems in seconds, improve confidence, and enjoy mathematics like never before. These techniques are not just shortcuts—they are tools for building lifelong mathematical skills. Vedic Maths provides easy, fast, and mental methods to calculate the cube of numbers. By using different types of numbers (starting with 1, ending with 1, same digits, or different digits), students can save time and perform calculations mentally or on paper with minimal steps.

FAQs

Q1: What is the main advantage of using Vedic Math cube tricks?

It allows you to calculate cubes mentally or quickly on paper without lengthy multiplication.

Q2: How many types of cube tricks are there in Vedic Maths?

There are four main tricks:

• Numbers starting with 1
• Numbers ending with 1
• Numbers having the same digits
• Numbers having different digits

Q3: Do I need to memorise the formula for cubes?

Not always. Vedic Maths tricks use pattern recognition and simple steps, which reduces the need to memorise long formulas.

Q4: How can I practice these tricks effectively?

Start with Type 1–4 numbers, solve practice questions step-by-step, and gradually try random 2-digit numbers to increase speed and accuracy.

Q5: Are these tricks helpful for competitive exams?

Absolutely! They save time and help avoid mistakes in exams where quick calculations are required.