100 LearnersLast updated on June 3rd, 2025
Cube of 142
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 142.
Cube of 142
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 142 can be written as 142³, which is the exponential form.
Or it can also be written in arithmetic form as, 142 × 142 × 142.
How to Calculate the Value of Cube of 142
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
- 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. 142³ = 142 × 142 × 142
Step 2: You get 2,869,288 as the answer. Hence, the cube of 142 is 2,869,288.
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 142 into two parts, as and . Let a = 140 and b = 2, so a + b = 142
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 140³ 3a²b = 3 × 140² × 2 3ab² = 3 × 140 × 2² b³ = 2³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (140 + 2)³ = 140³ + 3 × 140² × 2 + 3 × 140 × 2² + 2³ 142³ = 2,744,000 + 117,600 + 1,680 + 8 142³ = 2,869,288
Step 5: Hence, the cube of 142 is 2,869,288.
Using a Calculator
To find the cube of 142 using a calculator, input the number 142 and use the cube function (if available) or multiply 142 × 142 × 142. This operation calculates the value of 142³, resulting in 2,869,288. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 142
Step 3: If the calculator has a cube function, press it to calculate 142³.
Step 4: If there is no cube function on the calculator, simply multiply 142 three times manually.
Step 5: The calculator will display 2,869,288.
Tips and Tricks for the Cube of 142
- 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 142
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, 142 × 142 and not 142 × 142 × 142. Always remember that 142³ = 142 × 142 × 142.
Solved Examples on Cube of 142
Problem 1
What is the cube and cube root of 142?
The cube of 142 is 2,869,288 and the cube root of 142 is approximately 5.241.
Explanation
First, let’s find the cube of 142.
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 142³ = 2,869,288
Next, we must find the cube root of 142
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 ∛142 ≈ 5.241
Hence, the cube of 142 is 2,869,288 and the cube root of 142 is approximately 5.241.
Problem 2
If the side length of the cube is 142 cm, what is the volume?
The volume is 2,869,288 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 142 for the side length: V = 142³ = 2,869,288 cm³.
Problem 3
How much larger is 142³ than 140³?
142³ – 140³ = 125,288.
Explanation
First, find the cube of 142, which is 2,869,288
Next, find the cube of 140, which is 2,744,000
Now, find the difference between them using the subtraction method. 2,869,288 – 2,744,000 = 125,288
Therefore, 142³ is 125,288 larger than 140³.
Problem 4
If a cube with a side length of 142 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 142 cm is 2,869,288 cm³
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 142 means multiplying 142 by itself three times: 142 × 142 = 20,164, and 20,164 × 142 = 2,869,288.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,869,288 cm³.
Problem 5
Estimate the cube of 141.9 using the cube of 142.
The cube of 141.9 is approximately 2,869,288.
Explanation
First, identify the cube of 142,
The cube of 142 is 142³ = 2,869,288.
Since 141.9 is only a tiny bit less than 142, the cube of 141.9 will be almost the same as the cube of 142.
The cube of 141.9 is approximately 2,869,288 because the difference between 141.9 and 142 is very small.
So, we can approximate the value as 2,869,288.
FAQs on Cube of 142
1.What are the perfect cubes up to 142?
2.How do you calculate 142³?
3.What is the meaning of 142³?
4.What is the cube root of 142?
5.Is 142 a perfect cube?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Cube of 142?
8.How do technology and digital tools in Singapore support learning Algebra and Cube of 142?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Cube of 142
- 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.
- Volume of a Cube: The amount of space occupied by a cube, calculated by cubing the side length of the cube.
- Perfect Cube: A number that can be expressed as the cube of an integer.
Explore More algebra
Previous to Cube of 142
Next to Cube of 142
About BrightChamps in Singapore
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.
