100 LearnersLast updated on June 3rd, 2025
Cube of 124
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 124.
Cube of 124
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 124 can be written as 124³, which is the exponential form.
Or it can also be written in arithmetic form as, 124 × 124 × 124.
How to Calculate the Value of Cube of 124
In order to check 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
- 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. 124³ = 124 × 124 × 124
Step 2: You get 1,907,464 as the answer. Hence, the cube of 124 is 1,907,464.
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 124 into two parts. Let a = 120 and b = 4, so a + b = 124
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 120³ 3a²b = 3 × 120² × 4 3ab² = 3 × 120 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (120 + 4)³ = 120³ + 3 × 120² × 4 + 3 × 120 × 4² + 4³ 124³ = 1,728,000 + 172,800 + 5,760 + 64 124³ = 1,907,464
Step 5: Hence, the cube of 124 is 1,907,464.
Using a Calculator
To find the cube of 124 using a calculator, input the number 124 and use the cube function (if available) or multiply 124 × 124 × 124. This operation calculates the value of 124³, resulting in 1,907,464. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 124
Step 3: If the calculator has a cube function, press it to calculate 124³.
Step 4: If there is no cube function on the calculator, simply multiply 124 three times manually.
Step 5: The calculator will display 1,907,464.
Tips and Tricks for the Cube of 124
- 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 124
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, 124 × 124 and not 124 × 124 × 124. Always remember that 124³ = 124 × 124 × 124.
Solved Examples on Cube of 124
Problem 1
What is the cube and cube root of 124?
The cube of 124 is 1,907,464 and the cube root of 124 is approximately 5.019.
Explanation
First, let’s find the cube of 124.
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 124³ = 1,907,464
Next, we must find the cube root of 124
We know that the cube root of a number ‘x’, such that ∛x = y
Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ∛124 ≈ 5.019
Hence the cube of 124 is 1,907,464 and the cube root of 124 is approximately 5.019.
Problem 2
If the side length of a cube is 124 cm, what is the volume?
The volume is 1,907,464 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 124 for the side length: V = 124³ = 1,907,464 cm³.
Problem 3
How much larger is 124³ than 120³?
124³ – 120³ = 179,464.
Explanation
First, find the cube of 124³, that is 1,907,464
Next, find the cube of 120³, which is 1,728,000
Now, find the difference between them using the subtraction method. 1,907,464 – 1,728,000 = 179,464
Therefore, 124³ is 179,464 larger than 120³.
Problem 4
If a cube with a side length of 124 cm is compared to a cube with a side length of 20 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 124 cm is 1,907,464 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 124 means multiplying 124 by itself three times: 124 × 124 = 15,376, and then 15,376 × 124 = 1,907,464.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 1,907,464 cm³.
Problem 5
Estimate the cube of 123.9 using the cube of 124.
The cube of 123.9 is approximately 1,907,464.
Explanation
First, identify the cube of 124, The cube of 124 is 124³ = 1,907,464.
Since 123.9 is only a tiny bit less than 124, the cube of 123.9 will be almost the same as the cube of 124.
The cube of 123.9 is approximately 1,907,464 because the difference between 123.9 and 124 is very small.
So, we can approximate the value as 1,907,464.
FAQs on Cube of 124
1.What are the perfect cubes up to 124?
2.How do you calculate 124³?
3.What is the meaning of 124³?
4.What is the cube root of 124?
5.Is 124 a perfect cube?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Cube of 124?
8.How do technology and digital tools in Vietnam support learning Algebra and Cube of 124?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Cube of 124
- 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. For example, 2³ represents 2 × 2 × 2 equals 8.
- Perfect Cube: A number that can be expressed as the cube of an integer.
- Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
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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.
