• Written By Vaibhav_Raj_Asthana
  • Last Modified 22-06-2023

Cubes from 1 to 30: Steps to Remember Cubes

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Cubes from 1 to 30: When you multiply a number three times by itself, the answer derived is the cube of that number. Cubes with values ranging from 1 to 30 have values ranging from 1 to 27000. In exponential form, the cubes from 1 to 30 are written as (x)3. The highest value is 303 = 27000 and the lowest value is 13 = 1.

Knowing the cubes of integers up to 30, and how to calculate them will help you enhance your calculations in a variety of topics, including arithmetic, physics, accounting. In this article, we will help you learn the steps to remember cubes to solve time-consuming questions quickly and correctly. Let us get started with cubes ranging from 1 to 10, cubes ranging from 1 to 15, and more! 

Cubes from 1 to 30 Chart

In the table below, we have provided the cubes from 1 to 30:

13 = 123 = 8
33 = 2743 = 64
53 = 12563 = 216
73 = 34383 = 512
93 = 729103 = 1000
113 = 1331123 = 1728
133 = 2197143 = 2744
153 = 3375163 = 4096
173 = 4913183 = 5832
193 = 6859203 = 8000
213 = 9261223 = 10648
233 = 12167243 = 13824
253 = 15625263 = 17576
273 = 19683283 = 21952
293 = 24389303 = 27000

How to Find the Cube of a Number?

We will show you how to find the cube of an integer in this section. To find the cube of any number, just follow the steps mentioned below:

  • 1st Step: Take the given number and name it x. Let us take 5 as an example: so x = 5.
  • 2nd Step: Now multiply the number 3 times by itself, i.e. 5 x 5 x 5, which will yield 125.
  • 3rd Step: Write your answer as x³ or 5³ = 125.

Quick Shortcut Tricks to Find Cubes From 1 to 30

Finding the cube of a big number right in the middle of solving a question can be time-consuming. To help students learn how to find the cube of a number, we are providing a Cubes from 1 to 30 trick to be quick and accurate.

You may already know the formula – (a+b)3 = a3+3a2b+3ab2+b3

  1. Break the above formula as a3 | 3a2b | 3ab2 | b3
  2. Take an example of number 24. Let us find the cube of 24.
  3. (24)3 = 23 | 3×22x4 | 3x2x42 | 43
  4. Now, the left or unit’s place digit will be considered and the right or ten’s place digit will be carried forward and added to the next digit. Let us see how.
  5. 8 | 48 | 96 | 64
  6. The 4 in 64 will stay there, 6 will be added to 96, which is 102. 2 of 102 will stay and 10 will be added to 48 which will become 58. 8 of 58 will stay and 5 will be added to 8 which will become 13.
  7. Arranging the  above we get, 13824. 
  8. Cube  of 24 is 13,824.

Example no. 2. Let us find the cube of number 23.

  1. Break the above formula as a3 | 3a2b | 3ab2 | b3
  2. Take an example of number 24. Let us find the cube of 24.
  3. (23)3 = 23 | 3×22x3 | 3x2x32 | 33
  4. Now, the left or unit’s place digit will be considered and the right or ten’s place digit will be carried forward and added to the next digit. Let us see how.
  5. 8 | 36 | 54 | 27
  6. The 7 in 27 will stay there, 2 will be added to 54, which is 56. 6 of 56 will stay and 5 will be added to 36 which will become 41. 1 of 41 will stay and 4 will be added to 8 which will become 12.
  7. Arranging the  above we get, 12167. 
  8. Cube  of 23 is 12,167.

Cubes of Even and Odd Number From 1 to 30

Consider the table below:

NumberCubeNumberCubeNumberCube
11111331219261
281217282210648
3271321972312167
4641427442413824
51251533752515625
62161640962617576
73431749132719683
85121858322821952
97291968592924389
1010002080003027000

From the table, we can observe that the cube of an odd number is odd, and the cube of an even number is even.

How To Remember Cubes up to 30?

Now you know the cubes and the steps to find them, but there might be instances where you need to calculate the cubes more quickly. For this purpose, the best way would be to practice and learn the cubes of numbers that are mostly used in formulation questions.

Another way to remember cubes is by using the multiplication method. To do this, remember the square of the number and multiply the square by the number itself to get the cube.

SquareSquare Equivalent Number
121
224
329
4216
5225
6236
7249
8264
9281
102100
112121
122144
132169
142196
152225
162256
172289
182324
192361
202400
212441
222484
232529
242576
252625
262676
272729
282784
292841
302900

Also, Check:

Maths Formulas for Class 11Maths Formulas for Class 12
Maths Formulas for Class 10Maths Formulas for Class 9
Maths Formulas for Class 8Maths Formulas for Class 6

FAQs

The frequently asked questions on cubes 1 to 30 are given below:

Q1. 729 belongs to which cube number?
Ans. 729 belongs to cube number 9. When 9 is multiplied three times by itself, the resultant product is 729.

Q2. What are the first 10 cube numbers?
Ans. The first 10 cube numbers are 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

Q3. What are the cubes of 19 and 20?
Ans. The cubes of 19 and 20 are:
193 = 19×19× = 6859
203 = 20×20×20 = 8000

Q4. What is the cube of 12?
Ans. The cube of 12 is 1728.

Q5. What is the 1st cube number?
Ans. The first cube number is 1.

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