1 Million Means: 1 million in numerical is represented as 10,00,000. The Indian equivalent of a million is ten lakh rupees. It is not a...
1 Million Means: 1 Million in Rupees, Lakhs and Crores
June 5, 2024Cubes 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!
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 |
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:
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
Example no. 2. Let us find the cube of number 23.
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.
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.
Square | Square Equivalent Number |
12 | 1 |
22 | 4 |
32 | 9 |
42 | 16 |
52 | 25 |
62 | 36 |
72 | 49 |
82 | 64 |
92 | 81 |
102 | 100 |
112 | 121 |
122 | 144 |
132 | 169 |
142 | 196 |
152 | 225 |
162 | 256 |
172 | 289 |
182 | 324 |
192 | 361 |
202 | 400 |
212 | 441 |
222 | 484 |
232 | 529 |
242 | 576 |
252 | 625 |
262 | 676 |
272 | 729 |
282 | 784 |
292 | 841 |
302 | 900 |
Also, Check:
Maths Formulas for Class 11 | Maths Formulas for Class 12 |
Maths Formulas for Class 10 | Maths Formulas for Class 9 |
Maths Formulas for Class 8 | Maths Formulas for Class 6 |
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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