1-30 Square and Cube: In this article, we will provide a list of square values of 1 to 30 integers as well as cube values of 1 to 30 integers. It should help students to find out the perfect square or cube of integers. By memorizing those values students can solve any kind of simplification, Mensuration problems, Quadric equations, etc very easily and quickly. This list will help students to solve time-consuming numerical problems very quickly in an efficient way.
When we multiply an integer itself, the value we obtain is the Square of that integer. For example, 8 is an integer. 8 × 8 = 64 ,is the square of 8.
If ‘x’ is a number, its square is represented by ‘ x² ‘.
Squares (x²)= 1 to 30 | |
1² = 1 | 16² =256 |
2² = 4 | 17² =289 |
3² =9 | 18² =324 |
4²= 16 | 19² =361 |
5² =25 | 20² =400 |
6² =36 | 21² =441 |
7² =49 | 22² =484 |
8² =64 | 23² =529 |
9² =81 | 24² =576 |
10² =100 | 25² =625 |
11² =121 | 26² =676 |
12² =144 | 27² = 729 |
13² =169 | 28² = 784 |
14² =196 | 29² = 841 |
15² =225 | 30²= 900 |
Square Root from 1 to 30 | |
√1 = 1 | √2 = 1.414 |
√3 = 1.732 | √4 = 2 |
√5 = 2.236 | √6 = 2.449 |
√7 = 2.646 | √8 = 2.828 |
√9 = 3 | √10 = 3.162 |
√11 = 3.317 | √12 = 3.464 |
√13 = 3.606 | √14 = 3.742 |
√15 = 3.873 | √16 = 4 |
√17 = 4.123 | √18 = 4.243 |
√19 = 4.359 | √20 = 4.472 |
√21 = 4.583 | √22 = 4.690 |
√23 = 4.796 | √24 = 4.899 |
√25 = 5 | √26 = 5.099 |
√27 = 5.196 | √28 = 5.292 |
√29 = 5.385 | √30 = 5.477 |
When we multiply an integer itself three times, the value we get is the cube of that integer.
For example, 7 is an integer. Cube of 7 is =7×7×7= 343.
If ‘×’ is an integer, its cube is denoted by ‘ x³ ‘.
Cubes (x³) | |
1³ = 1 | 16³ = 4096 |
2³ = 8 | 17³ = 4913 |
3³ = 27 | 18³ = 5832 |
4³ = 64 | 19³ = 6859 |
5³ = 125 | 20³ = 8000 |
6³ = 216 | 21³ = 9261 |
7³ = 343 | 22³ = 10648 |
8³ = 512 | 23³ = 12167 |
9³ = 729 | 24³ = 13284 |
10³ = 1000 | 25³ = 15625 |
11³ = 1331 | 26³ = 17576 |
12³ = 1728 | 27³ = 19683 |
13³ = 2197 | 28³ = 21952 |
14³ = 2744 | 29³ = 24389 |
15³ = 3375 | 30³ = 27000 |
Number | Cube Root (^{3}√) |
1 | 1.000 |
2 | 1.260 |
3 | 1.442 |
4 | 1.587 |
5 | 1.710 |
6 | 1.817 |
7 | 1.913 |
8 | 2.000 |
9 | 2.080 |
10 | 2.154 |
11 | 2.224 |
12 | 2.289 |
13 | 2.351 |
14 | 2.410 |
15 | 2.466 |
16 | 2.520 |
17 | 2.571 |
18 | 2.621 |
19 | 2.668 |
20 | 2.714 |
21 | 2.759 |
22 | 2.802 |
23 | 2.844 |
24 | 2.884 |
25 | 2.924 |
26 | 2.962 |
27 | 3.000 |
28 | 3.037 |
29 | 3.072 |
30 | 3.107 |
The list of Square & Cube 1 to 30 will help students not only to find the square or cube values but also to recognize the perfect square of a number. Get the pdf of the square & Cube 1 to 30 chart here.
PDF of squares and cubes 1 to 30
Example 1- Find the value of [ 4³+ 11³ + 5²]
Solution- We know the values of 4³, 11³, and 5².
So, 4³+ 11³ + 5²
= 64+1331+ 25 = 1420 (Answer)
Example 2 – Calculate,[(28² – 9³) + 10² ]
Solution- [(28² – 9³) + 10² ]
= 784- 729 +100= 55 (Answer)
Example 3 – The length of one side of a cube is 6 cm. Calculate the volume of the cube?
Solution-The formula for determining the volume of a cube is – (side)³. The length of all sides of a cube is always equal.
So, the length of one side is 6 cm.
The volume of that cube is, V= 6³ cm³ = 216 cm³ (Answer)
Example 4 – Determine the total surface area of a sphere which have a radius of 3 cm.
Solution– The formula for determining the volume of the sphere is- A = 4π r² square units.
Total surface area – V= 4π( 3) ² cm²
A = 36 π cm² (Answer)
Example 5- The diameter of a circle is 14 cm. What is the area of the circle?
Solution-The formula for the area of a circle is, A= π r² square units.
The diameter of the given circle is – 14 cm.
So, radius of the circle is =14/2 = 7cm.
Area = π r²
Area= 22/7 ×(7²) [ here r = 7cm]
Area = 154 cm² .(Answer)
1. Find the value of [ 7³+ 13² + 21²]
2. Determine the circumference of a circle that has a radius of 21 cm.
3. Calculate the Area and Circumference of a square whose side length is 8 cm
4. If n² = 729, then n =?
5. The height of a cylinder is10 cm and the radius of one circular base is 7 cm. Find its volume.
Related post:
Q. What do you mean by Square of number?
A-When we multiply an integer itself, the value we obtain is the Square of that integer. For example, 8 is an integer. 8 × 8 = 64 ,is the square of 8.
Q.Is it possible that any Cubes also squares?
A- Yes. This is possible. There are some perfect squares present which is also perfect squares. For example, 729 is a perfect square of 27 and also a perfect cube of 9.
Q. What is the Cube of a number?
A-When we multiply an integer itself three times, the value we get is the cube of that integer.
For example, 7 is an integer. Cube of 7 is =7×7×7= 343.
Q. Write down the cube and square value of 30?
A- Cube of 30 is = 30³ =30×30×30 =27000 and square of 30 is = 30² =30×30 =900.
Q. What is the cube of 15 and 25 ?
A-Cube of 15 is = 15³ =15×15×15=3375 and cube of 25 is = 25³ =25×25×25 =15625.
When we multiply an integer itself, the value we obtain is the Square of that integer. For example, 8 is an integer. 8 × 8 = 64 ,is the square of 8.
Yes. This is possible. There are some perfect squares present which is also perfect squares. For example, 729 is a perfect square of 27 and also a perfect cube of 9.
When we multiply an integer itself three times, the value we get is the cube of that integer.
For example, 7 is an integer. Cube of 7 is =7×7×7= 343.
Cube of 30 is = 30³ =30×30×30 =27000 and square of 30 is = 30² =30×30 =900.
Cube of 15 is = 15³ =15×15×15=3375 and cube of 25 is = 25³ =25×25×25 =15625.
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