Value of Cubes From 1 to 20: Table, List, Examples
The values of cubes from 1 to 20 are the results of multiplying each number by itself three times. Learn the methods to calculate the values of cubes from 1 to 20 with solved examples here.
Chandni 30 Jun, 2025
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Cubes From 1 to 20: The cube of numbers is a mathematical concept that also connects to many practical aspects of daily life.
The cube of numbers 1 to 20 helps you find simple and quick solutions for various mathematical calculations.
This article will discuss the concept of the cube of numbers, the values of cubes from 1 to 20, and solved examples for better understanding and applications.
Read More: Roman Numbers 1 to 10000
What are Cubes 1 to 20?
Cubes 1 to 20 represent the values obtained when each number in this range is multiplied by itself three times. For example, the cube of 1 is 1 3 = 1 × 1 × 1, while the cube of 20 is 20 3 = 20 × 20 × 20 = 8000. These cubes are fundamental in mathematics and play a vital role in solving algebraic equations, finding patterns, and analyzing sequences. The smallest cube in this range is 1 3 = 1 , and the largest cube is 20 3 = 8000. Cubes are often represented using exponent form as x 3 , where x is the number being cubed. For instance, 3 3 = 3 × 3 × 3 = 27 and 10 3 = 10 × 10 × 10 = 1000. Learning cubes from 1 to 20 helps students develop quick problem-solving skills and improves their ability to handle mathematical calculations, especially in areas like geometry and algebra. The 1 to 20 cube values are often asked in competitive exams too.Values of Cubes From 1 to 20: Important Points
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The cube of 1 is 1, the lowest cube value for numbers 1 to 20 cube list.
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The cubes of 10 and 20 are obtained by simply adding two zeros to the number.
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The cube of all even numbers between 1 and 20 are even numbers.
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The cube of all odd numbers between 1 and 20 are odd numbers.
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When we divide the cube of a number by the number itself, the result is the perfect square of the number. For example, 8 ÷ 2 = 4 (since 2³ ÷ 2 = 2²).
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Numbers ending with 0, 1, 4, 6, and 9 will have cube values ending with 0, 1, 4, 6, and 9.
Understanding these patterns helps you learn cube 1 to 20 better.
Cube of Positive and Negative Numbers
A positive number cubed remains positive because multiplying three positive numbers always gives a positive result.Example:
3 3 = 3 × 3 × 3 = 27 5 3 = 5 × 5 × 5=125Cube of a Negative Number
A negative number cubed remains negative because multiplying an odd number of negative numbers results in a negative product.Example:
( −3) 3 =(−3) × (−3) × (−3) = −27 (−5) 3 = (−5)×(−5)×(−5) = −125This rule also applies while calculating the cube 1 to 20 values for negative numbers.
Read More - Indian Numeral System
How to Calculate the Value of Cubes From 1 to 20?
There are two main methods to calculate the values of cubes from 1 to 20. Let’s explore each method with examples.By Multiplying the Number by Itself
This is the simplest method to calculate the cube of any number. Multiply the number by itself thrice (three times). For example:- To find the cube of 2: 2 × 2 × 2 = 8
- To find the cube of 5: 5 × 5 × 5 = 125
By Using Algebraic Identities
Algebraic identities can simplify cube calculations, especially for larger numbers. One useful identity is: (a−b) 3 = a 3 − b 3 −3ab(a−b)Example :
Find the cube of 9 : 9 3 = (10 − 1) 3 Using the identity: (a − b) 3 = a 3 − b 3 − 3ab(a − b) Here, a = 10, and b = 1 9 3 = (10) 3 − (1) 3 −3(10)(1)(10−1) 9 3 = 1000 - 1 - 270 9 3 = 729 This method is especially helpful when working with numbers close to a base value, such as 10.Read More: Profit Formula
List of Value of Cubes From 1 to 20
The values of the cubes of whole numbers from 1 to 20 are handy references for the students to solve various mathematical problems. The chart of the cubes from 1 to 20 is given below:| List of Values of Cubes F rom 1 to 20 | |||
| Number | Cube | Number | Cube |
| 1 | 1 | 11 | 1331 |
| 2 | 8 | 12 | 1728 |
| 3 | 27 | 13 | 2197 |
| 4 | 64 | 14 | 2744 |
| 5 | 125 | 15 | 3375 |
| 6 | 216 | 16 | 4096 |
| 7 | 343 | 17 | 4913 |
| 8 | 512 | 18 | 5812 |
| 9 | 729 | 19 | 6859 |
| 10 | 1000 | 20 | 2000 |
Geometrical Interpretation of Cube of a Number
The cube value of a number can be related to the volume of a three-dimensional geometrical shape with six plain square faces. This particular shape is also called a cube. A cube's length, width, and height are of equal dimensions. If the length, width, and height of a cube have a value of 'a', then the volume of the cube will be calculated as V = (a x a x a), which is equal to a 3 . This concept directly relates to the cube of 1 to 20 and is used often in geometry.Read More: Antilog Table
Calculation of Cube Using Algebraic Identities
A cube can be expressed in the form of algebraic entities. For example, if two integers are a and b, we can use the following expressions to find the cube.- (a + b) x (a + b) x (a + b) = (a + b) 3 . = a 3 + b 3 + 3ab (a + b)
- (a - b) x (a - b) x (a - b) = (a - b) 3 . = a 3 - b 3 - 3ab (a - b)
Values of Cubes From 1 to 20 Important points
- The cube of 1 is 1, the lowest cube value for numbers 1 to 20.
- The cubes of 10 and 20 are obtained by simply adding two zeros to the number.
- The cube of all even numbers between 1 and 20 are even numbers.
- The cube of all odd numbers between 1 and 20 are odd numbers.
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When we divide the cube of a number by the number itself, the result is the perfect square of the number. For example, 8 ÷ 2 = 4 (since 2 3 . ÷ 2 = 2 2 ).
- The numbers ending with 0, 1, 4, 6, and 9 will have cube values ending with 0, 1, 4, 6, and 9.
Memory Tricks to Learn Cube of 1 to 20
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Start with easy ones: 1³ = 1, 2³ = 8, 3³ = 27
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Group values: Learn cubes of 1–10 first, then move to cube 11 to 20
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Notice patterns: If a number ends in 5, its cube ends in 125 or 375 (5³ = 125, 15³ = 3375)
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Say and write them every day
Learning cube 1 to 20 can be fun when done with games or flashcards.
Cubes From 1 to 20 Solved Examples
1. If the sides of a cubical water tank are 17 cm, find its volume.
Solution:
The formula for the volume of the cube is a 3 , where 'a' is the side of the cube. Here, a = 17 cm So, the volume of the cubical water tank is V = (17) 3 = 4913 cubic cm.2. Find the value of 3 times 8 cubes plus 5 times 14 cubes.
Solution: The expression will be: 3 x (8) 3 + 5 x (14) 3 = 3 x 512 + 5 x 2744 = 1536 + 13720 = 15256 So, the value of the expression is 15,256.3. Find the volume of a sphere having a radius of 18 cm.
Solution:
The volume of a sphere is 4/3 x π x r 3 , where r is the sphere's radius. Here, r = 18 cm. So, volume of sphere = 4/3 x π x (18) 3 = 4/3 x 3.14 x (18) 3 = 4/3 x 3.14 x 5832 = 4 x 3.14 x 1944 = 24416.64 cubic cm.4. Find the cube of 32 using the cube table from 1 to 20.
Solution:
We can write 32 = 20 + 12 So, (32) 3 = (20 + 12) 3 = (20) 3 + (12) 3 + 3 x 20 x 12 (20 + 12) = 8000 + 1728 + (720 x 32) = 8000 + 1728 + 20,040 = 32,768| Related Articles | |
| Equation | Area of Equilateral Triangle |
| Quadrilateral | Area of Trapezium |
| Ratio | Surface Area of Cylinder |
Cubes From 1 to 20 FAQs
How can we express a cube using prime factors?
A cube can be expressed as the product of prime factors, each occurring three times.
The cube of which maximum number can be calculated using the algebraic expressions of a cube and taking values from the table of cubes 1 to 20.
We can calculate the cube value of a maximum of 40 using the algebraic expressions of a cube and taking values from the table of cubes 1 to 20 because 40 = 20 + 20.
How are the square and Cube of a number related?
If the cube of a number is divided by the square of that number, we get the number itself.
What is an example of a cube shape used in a game?
The dice of a ludo is a typical example of a cube.
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