100 LearnersLast updated on June 3rd, 2025
Cube of 132
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 132.
Cube of 132
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 multiplied by itself three times results in a negative number.
The cube of 132 can be written as 132³, which is the exponential form.
Or it can also be written in arithmetic form as 132 × 132 × 132.
How to Calculate the Value of Cube of 132
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 methods will help in cubing numbers faster and easier without confusion 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 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. 132³ = 132 × 132 × 132
Step 2: You get 2,299,968 as the answer. Hence, the cube of 132 is 2,299,968.
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 132 into two parts. Let a = 130 and b = 2, so a + b = 132.
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.
Step 3: Calculate each term a³ = 130³ 3a²b = 3 × 130² × 2 3ab² = 3 × 130 × 2² b³ = 2³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (130 + 2)³ = 130³ + 3 × 130² × 2 + 3 × 130 × 2² + 2³ 132³ = 2,197,000 + 101,400 + 1,560 + 8 132³ = 2,299,968
Step 5: Hence, the cube of 132 is 2,299,968.
Using a Calculator
To find the cube of 132 using a calculator, input the number 132 and use the cube function (if available) or multiply 132 × 132 × 132. This operation calculates the value of 132³, resulting in 2,299,968. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1, 3, followed by 2.
Step 3: If the calculator has a cube function, press it to calculate 132³.
Step 4: If there is no cube function on the calculator, simply multiply 132 three times manually.
Step 5: The calculator will display 2,299,968.
Tips and Tricks for the Cube of 132
- 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 132
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
Mistake 1
Incorrect Multiplication
Multiplying the numbers only twice, such as 132 × 132 and not 132 × 132 × 132. Always remember that 132³ = 132 × 132 × 132.
Solved Examples on Cube of 132
Problem 1
What is the cube and cube root of 132?
The cube of 132 is 2,299,968 and the cube root of 132 is approximately 5.058.
Explanation
First, let’s find the cube of 132.
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 132³ = 2,299,968.
Next, we must find the cube root of 132.
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 ∛132 ≈ 5.058.
Hence, the cube of 132 is 2,299,968 and the cube root of 132 is approximately 5.058.
Problem 2
If the side length of a cube is 132 cm, what is the volume?
The volume is 2,299,968 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 132 for the side length: V = 132³ = 2,299,968 cm³.
Problem 3
How much larger is 132³ than 122³?
132³ – 122³ = 1,260,912.
Explanation
First, find the cube of 132, which is 2,299,968.
Next, find the cube of 122, which is 1,039,056.
Now, find the difference between them using the subtraction method. 2,299,968 – 1,039,056 = 1,260,912.
Therefore, 132³ is 1,260,912 larger than 122³.
Problem 4
If a cube with a side length of 132 cm is compared to a cube with a side length of 12 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 132 cm is 2,299,968 cm³.
Explanation
To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 132 means multiplying 132 by itself three times: 132 × 132 = 17,424, and then 17,424 × 132 = 2,299,968.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,299,968 cm³.
Problem 5
Estimate the cube of 131.9 using the cube of 132.
The cube of 131.9 is approximately 2,299,968.
Explanation
First, identify the cube of 132.
The cube of 132 is 132³ = 2,299,968.
Since 131.9 is only slightly less than 132, the cube of 131.9 will be almost the same as the cube of 132.
The cube of 131.9 is approximately 2,299,968 because the difference between 131.9 and 132 is very small.
So, we can approximate the value as 2,299,968.
FAQs on Cube of 132
1.What are the perfect cubes up to 132?
2.How do you calculate 132³?
3.What is the meaning of 132³?
4.What is the cube root of 132?
5.Is 132 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 132?
8.How do technology and digital tools in Qatar support learning Algebra and Cube of 132?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Cube of 132
- 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.
- Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself three times.
- Cube Root: A value that, when multiplied by itself three times, gives the original number. It is the inverse operation of cubing a 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
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