115 LearnersLast updated on May 30th, 2025
Cube of 253
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 the cube of 253.
Cube of 253
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 253 can be written as 253³, which is the exponential form.
Or it can also be written in arithmetic form as, 253 × 253 × 253.
How to Calculate the Value of Cube of 253
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. 253³ = 253 × 253 × 253
Step 2: You get 16,194,077 as the answer.
Hence, the cube of 253 is 16,194,077.
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 253 into two parts. Let a = 250 and b = 3, so a + b = 253
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 250³ 3a²b = 3 × 250² × 3 3ab² = 3 × 250 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (250 + 3)³ = 250³ + 3 × 250² × 3 + 3 × 250 × 3² + 3³ 253³ = 15,625,000 + 562,500 + 6,750 + 27 253³ = 16,194,277
Step 5: Hence, the cube of 253 is 16,194,077.
Using a Calculator
To find the cube of 253 using a calculator, input the number 253 and use the cube function (if available) or multiply 253 × 253 × 253. This operation calculates the value of 253³, resulting in 16,194,077. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2, 5, and 3.
Step 3: If the calculator has a cube function, press it to calculate 253³.
Step 4: If there is no cube function on the calculator, simply multiply 253 three times manually.
Step 5: The calculator will display 16,194,077.
Tips and Tricks for the Cube of 253
- 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 253
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, 253 × 253 and not 253 × 253 × 253. Always remember that 253³ = 253 × 253 × 253.
Solved Examples on Cube of 253
Problem 1
What is the cube and cube root of 253?
The cube of 253 is 16,194,077 and the cube root of 253 is approximately 6.310.
Explanation
First, let’s find the cube of 253.
We know that cube of a number x, such that x³ = y.
Where x is the given number, and y is the cubed value of that number.
So, we get 253³ = 16,194,077. Next, we must find the cube root of 253.
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√253 ≈ 6.310.
Hence the cube of 253 is 16,194,077 and the cube root of 253 is approximately 6.310.
Problem 2
If the side length of the cube is 253 cm, what is the volume?
The volume is 16,194,077 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 253 for the side length: V = 253³ = 16,194,077 cm³.
Problem 3
How much larger is 253³ than 203³?
253³ – 203³ = 10,388,477.
Explanation
First, find the cube of 253, which is 16,194,077.
Next, find the cube of 203, which is 5,805,600.
Now, find the difference between them using the subtraction method. 16,194,077 – 5,805,600 = 10,388,477.
Therefore, 253³ is 10,388,477 larger than 203³.
Problem 4
If a cube with a side length of 253 cm is compared to a cube with a side length of 3 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 253 cm is 16,194,077 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 253 means multiplying 253 by itself three times: 253 × 253 = 64,009, and then 64,009 × 253 = 16,194,077.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 16,194,077 cm³.
Problem 5
Estimate the cube 252.9 using the cube of 253.
The cube of 252.9 is approximately 16,194,077.
Explanation
First, identify the cube of 253. The cube of 253 is 253³ = 16,194,077.
Since 252.9 is only a tiny bit less than 253, the cube of 252.9 will be almost the same as the cube of 253.
The cube of 252.9 is approximately 16,194,077 because the difference between 252.9 and 253 is very small.
So, we can approximate the value as 16,194,077.
FAQs on Cube of 253
1.What are the perfect cubes up to 253?
2.How do you calculate 253³?
3.What is the meaning of 253³?
4.What is the cube root of 253?
5.Is 253 a perfect cube?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Cube of 253?
8.How do technology and digital tools in Thailand support learning Algebra and Cube of 253?
9.Does learning Algebra support future career opportunities for students in Thailand?
Important Glossaries for Cube of 253
- Binomial Formula: 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: 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. For example, 2³ represents 2 × 2 × 2 equals 8.
- Multiplication Method: A mathematical approach to find the product of numbers by repeated addition.
- Calculator Method: Using a calculator to perform operations like finding cubes or cube roots efficiently.
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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.
