1 to 30 Square and Cube [ PDF Download ]

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1 to 30 Square & Cube

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.

Square 1 to 30- Square of a number

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 ‘.

Square 1 to 30 Table

Squares (x²)
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 1 to 30

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

1-30 Cube of a Number

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 ‘.

1 to 30 Cubes- Table

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 = 13824
10³ = 1000	25³ = 15625
11³ = 1331	26³ = 17576
12³ = 1728	27³ = 19683
13³ = 2197	28³ = 21952
14³ = 2744	29³ = 24389
15³ = 3375	30³ = 27000

1 to 30 Square & Cube Pdf Download

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

1 to 30 Square & Cube: Solved Examples

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 to 30 Square & Cube: Exercise

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.

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1 to 30 Square & Cube: FAQs

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.