Cube of 1.331
2026-02-28 13:12 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-1.331

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Last updated on August 5, 2025

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 cubes of 1.331.

Cube of 1.331

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 1.331 can be written as 1.331³, which is the exponential form.

Or it can also be written in arithmetic form as, 1.331 × 1.331 × 1.331.

How to Calculate the Value of Cube of 1.331

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 (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. 1.331³ = 1.331 × 1.331 × 1.331

Step 2: You get approximately 2.357 as the answer.

Hence, the cube of 1.331 is approximately 2.357.

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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 1.331 into two parts, as 1.3 and 0.031. Let a = 1.3 and b = 0.031, so a + b = 1.331

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term a³ = 1.3³ 3a²b = 3 × 1.3² × 0.031 3ab² = 3 × 1.3 × 0.031² b³ = 0.031³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1.3 + 0.031)³ = 1.3³ + 3 × 1.3² × 0.031 + 3 × 1.3 × 0.031² + 0.031³ 1.331³ ≈ 2.197 + 0.156 + 0.003 + 0.00003 1.331³ ≈ 2.357

Step 5: Hence, the cube of 1.331 is approximately 2.357.

Using a Calculator

To find the cube of 1.331 using a calculator, input the number 1.331 and use the cube function (if available) or multiply 1.331 × 1.331 × 1.331. This operation calculates the value of 1.331³, resulting in approximately 2.357. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1 then . then 3 then 3 then 1

Step 3: If the calculator has a cube function, press it to calculate 1.331³.

Step 4: If there is no cube function on the calculator, simply multiply 1.331 three times manually.

Step 5: The calculator will display approximately 2.357.

Tips and Tricks for the Cube of 1.331

  • 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 1.331

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:

Problem 1

What is the cube and cube root of 1.331?

Okay, lets begin

The cube of 1.331 is approximately 2.357 and the cube root of 1.331 is approximately 1.097.

Explanation

First, let’s find the cube of 1.331.

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 1.331³ ≈ 2.357

Next, we must find the cube root of 1.331

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 ∛1.331 ≈ 1.097

Hence the cube of 1.331 is approximately 2.357 and the cube root of 1.331 is approximately 1.097.

Well explained 👍

Problem 2

If the side length of the cube is 1.331 meters, what is the volume?

Okay, lets begin

The volume is approximately 2.357 m³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 1.331 for the side length: V = 1.331³ ≈ 2.357 m³.

Well explained 👍

Problem 3

How much larger is 1.331³ than 1.23³?

Okay, lets begin

1.331³ - 1.23³ ≈ 0.730.

Explanation

First, find the cube of 1.331, that is approximately 2.357.

Next, find the cube of 1.23, which is approximately 1.627.

Now, find the difference between them using the subtraction method. 2.357 - 1.627 ≈ 0.730

Therefore, the 1.331³ is approximately 0.730 larger than 1.23³.

Well explained 👍

Problem 4

If a cube with a side length of 1.331 meters is compared to a cube with a side length of 1 meter, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1.331 meters is approximately 2.357 m³

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).

Cubing 1.331 means multiplying 1.331 by itself three times: 1.331 × 1.331 ≈ 1.771, and then 1.771 × 1.331 ≈ 2.357.

The unit of volume is cubic meters (m³), because we are calculating the space inside the cube.

Therefore, the volume of the cube is approximately 2.357 m³.

Well explained 👍

Problem 5

Estimate the cube 1.335 using the cube 1.331.

Okay, lets begin

The cube of 1.335 is approximately 2.375.

Explanation

First, identify the cube of 1.331,

The cube of 1.331 is approximately 2.357.

Since 1.335 is only a tiny bit more than 1.331, the cube of 1.335 will be slightly more than the cube of 1.331.

The cube of 1.335 is approximately 2.375, considering the small difference.

So, we can approximate the value as 2.375.

Well explained 👍

FAQs on Cube of 1.331

1.What are the perfect cubes up to 1.331?

The perfect cubes up to 1.331 are 1 and 8, as they are whole numbers whose cubes are integer values.

2.How do you calculate 1.331³?

To calculate 1.331³, use the multiplication method, 1.331 × 1.331 × 1.331, which equals approximately 2.357.

3.What is the meaning of 1.331³?

1.331³ means 1.331 multiplied by itself three times, or 1.331 × 1.331 × 1.331.

4.What is the cube root of 1.331?

The cube root of 1.331 is approximately 1.097.

5.Is 1.331 a perfect cube?

No, 1.331 is not a perfect cube because no integer multiplied by itself three times equals 1.331.

Important Glossaries for Cube of 1.331

  • 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 yields the original number when multiplied by itself twice more.
  • Multiplication Method: A mathematical process to find the product of numbers by repeated addition, often used for assessing powers like cubes.

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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.