100 LearnersLast updated on June 3rd, 2025
Cube of 131
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 131.
Cube of 131
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 131 can be written as 131³, which is the exponential form.
Or it can also be written in arithmetic form as, 131 × 131 × 131.
How to Calculate the Value of Cube of 131
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. 131³ = 131 × 131 × 131
Step 2: You get 2,247,091 as the answer. Hence, the cube of 131 is 2,247,091.
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 131 into two parts, as 130 and 1. Let a = 130 and b = 1, so a + b = 131
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 130³ 3a²b = 3 × 130² × 1 3ab² = 3 × 130 × 1² b³ = 1³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (130 + 1)³ = 130³ + 3 × 130² × 1 + 3 × 130 × 1² + 1³ 131³ = 2,197,000 + 50,700 + 390 + 1 131³ = 2,247,091
Step 5: Hence, the cube of 131 is 2,247,091.
Using a Calculator
To find the cube of 131 using a calculator, input the number 131 and use the cube function (if available) or multiply 131 × 131 × 131. This operation calculates the value of 131³, resulting in 2,247,091. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 3 and 1
Step 3: If the calculator has a cube function, press it to calculate 131³.
Step 4: If there is no cube function on the calculator, simply multiply 131 three times manually.
Step 5: The calculator will display 2,247,091.
Tips and Tricks for the Cube of 131
- 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 131
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, 131 × 131 and not 131 × 131 × 131. Always remember that 131³ = 131 × 131 × 131.
Solved Examples on Cube of 131
Problem 1
What is the cube and cube root of 131?
The cube of 131 is 2,247,091 and the cube root of 131 is approximately 5.062.
Explanation
First, let’s find the cube of 131. We know that 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 131³ = 2,247,091 Next, we must find the cube root of 131
We know that cube root of a number ‘x’, such that √³x = y
Where ‘x’ is the given number, and y is the cube root value of the number
So, we get √³131 ≈ 5.062
Hence the cube of 131 is 2,247,091 and the cube root of 131 is approximately 5.062.
Problem 2
If the side length of the cube is 131 cm, what is the volume?
The volume is 2,247,091 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 131 for the side length: V = 131³ = 2,247,091 cm³.
Problem 3
How much larger is 131³ than 130³?
131³ – 130³ = 51,591.
Explanation
First, find the cube of 131³, that is 2,247,091
Next, find the cube of 130³, which is 2,195,500
Now, find the difference between them using the subtraction method. 2,247,091 – 2,195,500 = 51,591
Therefore, 131³ is 51,591 larger than 130³.
Problem 4
If a cube with a side length of 131 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 131 cm is 2,247,091 cm³, which is significantly larger than the volume of the cube with a side length of 10 cm, which is 1,000 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 131 means multiplying 131 by itself three times: 131 × 131 = 17,161, and then 17,161 × 131 = 2,247,091.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,247,091 cm³, whereas the volume of a cube with a side of 10 cm is 1,000 cm³.
Problem 5
Estimate the cube 130.5 using the cube 131.
The cube of 130.5 is approximately 2,247,091.
Explanation
First, identify the cube of 131,
The cube of 131 is 131³ = 2,247,091.
Since 130.5 is only slightly less than 131, the cube of 130.5 will be almost the same as the cube of 131.
The cube of 130.5 is approximately 2,247,091 because the difference between 130.5 and 131 is very small.
So, we can approximate the value as 2,247,091.
FAQs on Cube of 131
1.What are the perfect cubes up to 131?
2.How do you calculate 131³?
3.What is the meaning of 131³?
4.What is the cube root of 131?
5.Is 131 a perfect cube?
6.How does learning Algebra help students in Philippines make better decisions in daily life?
7.How can cultural or local activities in Philippines support learning Algebra topics such as Cube of 131?
8.How do technology and digital tools in Philippines support learning Algebra and Cube of 131?
9.Does learning Algebra support future career opportunities for students in Philippines?
Important Glossaries for Cube of 131
- 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 to 8.
- Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
- Volume of a Cube: The amount of space occupied by a cube, calculated as side length cubed.
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Jaskaran Singh Saluja
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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.
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