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 = 1
23 = 8
33 = 27
43 = 64
53 = 125
63 = 216
73 = 343
83 = 512
93 = 729
103 = 1000
113 = 1331
123 = 1728
133 = 2197
143 = 2744
153 = 3375
163 = 4096
173 = 4913
183 = 5832
193 = 6859
203 = 8000
213 = 9261
223 = 10648
233 = 12167
243 = 13824
253 = 15625
263 = 17576
273 = 19683
283 = 21952
293 = 24389
303 = 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
Break the above formula as a3 | 3a2b | 3ab2 | b3
Take an example of number 24. Let us find the cube of 24.
(24)3 = 23 | 3×22x4 | 3x2x42 | 43
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.
8 | 48 | 96 | 64
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.
Arranging the above we get, 13824.
Cube of 24 is 13,824.
Example no. 2. Let us find the cube of number 23.
Break the above formula as a3 | 3a2b | 3ab2 | b3
Take an example of number 24. Let us find the cube of 24.
(23)3 = 23 | 3×22x3 | 3x2x32 | 33
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.
8 | 36 | 54 | 27
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.
Arranging the above we get, 12167.
Cube of 23 is 12,167.
Cubes of Even and Odd Number From 1 to 30
Consider the table below:
Number
Cube
Number
Cube
Number
Cube
1
1
11
1331
21
9261
2
8
12
1728
22
10648
3
27
13
2197
23
12167
4
64
14
2744
24
13824
5
125
15
3375
25
15625
6
216
16
4096
26
17576
7
343
17
4913
27
19683
8
512
18
5832
28
21952
9
729
19
6859
29
24389
10
1000
20
8000
30
27000
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.