117 LearnersLast updated on May 30th, 2025
Cube of 239
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 239.
Cube of 239
A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times.
When you cube a positive number, the result is always positive.
When you cube a negative number, the result is always negative.
This is because a negative number by itself three times results in a negative number.
The cube of 239 can be written as 239³, which is the exponential form.
Or it can also be written in arithmetic form as 239 × 239 × 239.
How to Calculate the Value of Cube of 239
In order to calculate whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.
- By Multiplication Method
- Using a Formula (a3)
- Using a Calculator
By Multiplication Method
The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number. 239³ = 239 × 239 × 239
Step 2: You get 13,668,719 as the answer.
Hence, the cube of 239 is 13,668,719.
Using a Formula (a³)
The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.
Step 1: Split the number 239 into two parts. Let a = 230 and b = 9, so a + b = 239
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 230³ 3a²b = 3 × 230² × 9 3ab² = 3 × 230 × 9² b³ = 9³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (230 + 9)³ = 230³ + 3 × 230² × 9 + 3 × 230 × 9² + 9³ 239³ = 12,167,000 + 1,494,300 + 55,890 + 729 239³ = 13,668,719
Step 5: Hence, the cube of 239 is 13,668,719.
Using a Calculator
To find the cube of 239 using a calculator, input the number 239 and use the cube function (if available) or multiply 239 × 239 × 239. This operation calculates the value of 239³, resulting in 13,668,719. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2 followed by 3 and 9.
Step 3: If the calculator has a cube function, press it to calculate 239³.
Step 4: If there is no cube function on the calculator, simply multiply 239 three times manually.
Step 5: The calculator will display 13,668,719.
Tips and Tricks for the Cube of 239
The cube of any even number is always even, while the cube of any odd number is always odd.
The product of two or more perfect cube numbers is always a perfect cube.
A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
Common Mistakes to Avoid When Calculating the Cube of 239
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
Mistake 1
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 239 × 239 and not 239 × 239 × 239. Always remember that 239³ = 239 × 239 × 239.
Solved Examples on Cube of 239
Problem 1
What is the cube and cube root of 239?
The cube of 239 is 13,668,719 and the cube root of 239 is approximately 6.209.
Explanation
First, let’s find the cube of 239.
We know that the cube of a number, such that x³ = y,
where x is the given number, and y is the cubed value of that number.
So, we get 239³ = 13,668,719. Next, we must find the cube root of 239.
We know that the cube root of a number ‘x’, such that ³√x = y,
where x is the given number, and y is the cube root value of the number.
So, we get ³√239 ≈ 6.209.
Hence the cube of 239 is 13,668,719 and the cube root of 239 is approximately 6.209.
Problem 2
If the side length of the cube is 239 cm, what is the volume?
The volume is 13,668,719 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 239 for the side length: V = 239³ = 13,668,719 cm³.
Problem 3
How much larger is 239³ than 230³?
239³ – 230³ = 1,501,719.
Explanation
First find the cube of 239³, that is 13,668,719.
Next, find the cube of 230³, which is 12,167,000.
Now, find the difference between them using the subtraction method. 13,668,719 – 12,167,000 = 1,501,719.
Therefore, 239³ is 1,501,719 larger than 230³.
Problem 4
If a cube with a side length of 239 cm is compared to a cube with a side length of 9 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 239 cm is 13,668,719 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 239 means multiplying 239 by itself three times: 239 × 239 = 57,121, and then 57,121 × 239 = 13,668,719.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 13,668,719 cm³.
Problem 5
Estimate the cube 238.5 using the cube 239.
The cube of 238.5 is approximately 13,668,719.
Explanation
First, identify the cube of 239. The cube of 239 is 239³ = 13,668,719.
Since 238.5 is only slightly less than 239, the cube of 238.5 will be almost the same as the cube of 239.
The cube of 238.5 is approximately 13,668,719 because the difference between 238.5 and 239 is very small.
So, we can approximate the value as 13,668,719.
FAQs on Cube of 239
1.What are the perfect cubes up to 239?
2.How do you calculate 239³?
3.What is the meaning of 239³?
4.What is the cube root of 239?
5.Is 239 a perfect cube?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Cube of 239?
8.How do technology and digital tools in Qatar support learning Algebra and Cube of 239?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Cube of 239
- Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
- Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
- Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself.
- Cube Root: The cube root of a number is a value that, when multiplied by itself twice, gives the original number.
- Perfect Cube: A number that can be expressed as the cube of an integer.
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Jaskaran Singh Saluja
About the Author
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
