Cube of 1331
2026-02-28 09:12 Diff
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Last updated on September 17, 2025

When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 1331.

Cube of 1331

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 1331 can be written as 1331³, which is the exponential form. Or it can also be written in arithmetic form as, 1331 × 1331 × 1331.

How to Calculate the Value of Cube of 1331

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 to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.

  1. By Multiplication Method
  2. Using a Formula
  3. 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. 1331³ = 1331 × 1331 × 1331

Step 2: You get 2,352,637,431 as the answer. Hence, the cube of 1331 is 2,352,637,431.

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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 1331 into two parts. Let a = 1000 and b = 331, so a + b = 1331

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

Step 3: Calculate each term a³ = 1000³ 3a²b = 3 × 1000² × 331 3ab² = 3 × 1000 × 331² b³ = 331³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³

(1000 + 331)³ = 1000³ + 3 × 1000² × 331 + 3 × 1000 × 331² + 331³

1331³ = 1,000,000,000 + 993,000,000 + 328,011,000 + 36,626,431

1331³ = 2,352,637,431

Step 5: Hence, the cube of 1331 is 2,352,637,431.

Using a Calculator

To find the cube of 1331 using a calculator, input the number 1331 and use the cube function (if available) or multiply 1331 × 1331 × 1331. This operation calculates the value of 1331³, resulting in 2,352,637,431. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Enter 1331

Step 3: If the calculator has a cube function, press it to calculate 1331³.

Step 4: If there is no cube function on the calculator, simply multiply 1331 three times manually.

Step 5: The calculator will display 2,352,637,431.

Tips and Tricks for the Cube of 1331

  • 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 1331

There are some typical errors that might be made during the process of cubing a number. Let us take a look at five of the major mistakes:

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Problem 1

What is the cube and cube root of 1331?

Okay, lets begin

The cube of 1331 is 2,352,637,431 and the cube root of 1331 is 11.

Explanation

First, let’s find the cube of 1331. 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 1331³ = 2,352,637,431

Next, we must find the cube root of 1331 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 ∛1331 = 11 Hence the cube of 1331 is 2,352,637,431 and the cube root of 1331 is 11.

Well explained 👍

Problem 2

If the side length of a cube is 1331 cm, what is the volume?

Okay, lets begin

The volume is 2,352,637,431 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 1331 for the side length: V = 1331³ = 2,352,637,431 cm³.

Well explained 👍

Problem 3

How much larger is 1331³ than 331³?

Okay, lets begin

1331³ – 331³ = 2,315,802,545.

Explanation

First, find the cube of 1331³, which is 2,352,637,431

Next, find the cube of 331³, which is 36,834,886

Now, find the difference between them using the subtraction method. 2,352,637,431 – 36,834,886 = 2,315,802,545

Therefore, 1331³ is 2,315,802,545 larger than 331³.

Well explained 👍

Problem 4

If a cube with a side length of 1331 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1331 cm is 2,352,637,431 cm³.

Explanation

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

Cubing 1331 means multiplying 1331 by itself three times: 1331 × 1331 = 1,769,761, and then 1,769,761 × 1331 = 2,352,637,431.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.

Therefore, the volume of the cube is 2,352,637,431 cm³.

Well explained 👍

Problem 5

Estimate the cube of 1332 using the cube of 1331.

Okay, lets begin

The cube of 1332 is slightly larger than 2,352,637,431.

Explanation

First, identify the cube of 1331, The cube of 1331 is 1331³ = 2,352,637,431.

Since 1332 is only a small bit more than 1331, the cube of 1332 will be slightly larger than the cube of 1331.

The cube of 1332 is slightly larger than 2,352,637,431 because the difference between 1331 and 1332 is very small.

Well explained 👍

FAQs on Cube of 1331

1.What is the cube of 1331?

The cube of 1331 is 2,352,637,431.

2.How do you calculate 1331³?

To calculate 1331³, use the multiplication method, 1331 × 1331 × 1331, which equals 2,352,637,431.

3.What is the meaning of 1331³?

1331³ means 1331 multiplied by itself three times, or 1331 × 1331 × 1331.

4.What is the cube root of 1331?

5.Is 1331 a perfect cube?

Yes, 1331 is a perfect cube because 11 multiplied by itself three times equals 1331.

Important Glossaries for Cube of 1331

  • 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, 3³ represents 3 × 3 × 3 equals 27.
  • Perfect Cube: A number that can be expressed as the cube of an integer. For example, 1331 is a perfect cube because it is 11³.
  • Cube Root: A number that, when multiplied by itself twice more, gives the original number. For example, the cube root of 1331 is 11.

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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.