Cube of 1337
2026-02-28 11:05 Diff
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Last updated on September 18, 2025

When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 1337.

Cube of 1337

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 1337 can be written as 1337³, which is the exponential form. Or it can also be written in arithmetic form as, 1337 × 1337 × 1337.

How to Calculate the Value of Cube of 1337

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. -

  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. 1337³ = 1337 × 1337 × 1337

Step 2: You get 2,390,237,303 as the answer. Hence, the cube of 1337 is 2,390,237,303.

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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 1337 into two parts, as 1300 and 37. Let a = 1300 and b = 37, so a + b = 1337

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

Step 3: Calculate each term a³ = 1300³

3a²b = 3 × 1300² × 37

3ab² = 3 × 1300 × 37²

b³ = 37³

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

(1300 + 37)³= 1300³ + 3 × 1300² × 37 + 3 × 1300 × 37² + 37³

1337³ = 2,197,000,000 + 187,230,000 + 64,590,000 + 50,303

1337³ = 2,390,237,303

Step 5: Hence, the cube of 1337 is 2,390,237,303.

Using a Calculator

To find the cube of 1337 using a calculator, input the number 1337 and use the cube function (if available) or multiply 1337 × 1337 × 1337. This operation calculates the value of 1337³, resulting in 2,390,237,303. 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, 3, and 7.

Step 3: If the calculator has a cube function, press it to calculate 1337³.

Step 4: If there is no cube function on the calculator, simply multiply 1337 three times manually.

Step 5: The calculator will display 2,390,237,303.

Tips and Tricks for the Cube of 1337

  • 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 1337

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:

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Problem 1

What is the cube and cube root of 1337?

Okay, lets begin

The cube of 1337 is 2,390,237,303 and the cube root of 1337 is approximately 11.079.

Explanation

First, let’s find the cube of 1337. 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 1337³ = 2,390,237,303

Next, we must find the cube root of 1337 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 ∛1337 = 11.079 Hence the cube of 1337 is 2,390,237,303 and the cube root of 1337 is approximately 11.079.

Well explained 👍

Problem 2

If the side length of the cube is 1337 cm, what is the volume?

Okay, lets begin

The volume is 2,390,237,303 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 1337 for the side length: V = 1337³ = 2,390,237,303 cm³.

Well explained 👍

Problem 3

How much larger is 1337³ than 1000³?

Okay, lets begin

1337³ – 1000³ = 1,390,237,303.

Explanation

First find the cube of 1337, that is 2,390,237,303

Next, find the cube of 1000, which is 1,000,000,000

Now, find the difference between them using the subtraction method. 2,390,237,303 – 1,000,000,000 = 1,390,237,303

Therefore, 1337³ is 1,390,237,303 larger than 1000³.

Well explained 👍

Problem 4

If a cube with a side length of 1337 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1337 cm is 2,390,237,303 cm³

Explanation

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

Cubing 1337 means multiplying 1337 by itself three times: 1337 × 1337 = 1,788,369, and then 1,788,369 × 1337 = 2,390,237,303.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 2,390,237,303 cm³.

Well explained 👍

Problem 5

Estimate the cube 1340 using the cube 1337.

Okay, lets begin

The cube of 1340 is approximately 2,407,304,000.

Explanation

First, identify the cube of 1337, The cube of 1337 is 1337³ = 2,390,237,303.

Since 1340 is only a little more than 1337, the cube of 1340 will be somewhat larger than the cube of 1337.

The cube of 1340 is approximately 2,407,304,000 because the difference between 1340 and 1337 is small, but noticeable enough for a slight increase.

So, we can approximate the value as 2,407,304,000.

Well explained 👍

FAQs on Cube of 1337

1.What are the perfect cubes up to 1337?

The perfect cubes up to 1337 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 1337³?

To calculate 1337³, use the multiplication method, 1337 × 1337 × 1337, which equals 2,390,237,303.

3.What is the meaning of 1337³?

1337³ means 1337 multiplied by itself three times, or 1337 × 1337 × 1337.

4.What is the cube root of 1337?

The cube root of 1337 is approximately 11.079.

5.Is 1337 a perfect cube?

No, 1337 is not a perfect cube because no integer multiplied by itself three times equals 1337.

Important Glossaries for Cube of 1337

  • 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 as the side length raised to the third power.
  • Perfect Cube: A number that can be expressed as the cube of an integer.

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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.