Cube of 1333
2026-02-28 10:25 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 useful in comparing sizes of objects with cubic measurements. In this topic, we shall learn about the cube of 1333.

Cube of 1333

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 1333 can be written as 1333³, which is the exponential form. Or it can also be written in arithmetic form as, 1333 × 1333 × 1333.

How to Calculate the Value of Cube of 1333

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 students 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 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. 1333³ = 1333 × 1333 × 1333

Step 2: You get 2,365,766,037 as the answer. Hence, the cube of 1333 is 2,365,766,037.

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Using a Formula (a³)

The binomial formula (a + b)³ is used for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.

Step 1: Split the number 1333 into two parts, as a and b. Let a = 1300 and b = 33, so a + b = 1333

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

Step 3: Calculate each term a³ = 1300³

3a²b = 3 × 1300² × 33

3ab² = 3 × 1300 × 33²

b³ = 33³

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

(1300 + 33)³ = 1300³ + 3 × 1300² × 33 + 3 × 1300 × 33² + 33³

1333³ = 2,197,000,000 + 167,970,000 + 4,245,900 + 35,937

1333³ = 2,365,766,037

Step 5: Hence, the cube of 1333 is 2,365,766,037.

Using a Calculator

To find the cube of 1333 using a calculator, input the number 1333 and use the cube function (if available) or multiply 1333 × 1333 × 1333. This operation calculates the value of 1333³, resulting in 2,365,766,037. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Enter 1333.

Step 3: If the calculator has a cube function, press it to calculate 1333³.

Step 4: If there is no cube function on the calculator, multiply 1333 three times manually.

Step 5: The calculator will display 2,365,766,037.

Tips and Tricks for the Cube of 1333

  • 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 1333

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

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Problem 1

What is the cube and cube root of 1333?

Okay, lets begin

The cube of 1333 is 2,365,766,037 and the cube root of 1333 is approximately 10.79.

Explanation

First, let’s find the cube of 1333. We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.

So, we get 1333³ = 2,365,766,037. Next, we must find the cube root of 1333.

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 ∛1333 ≈ 10.79.

Hence the cube of 1333 is 2,365,766,037 and the cube root of 1333 is approximately 10.79.

Well explained 👍

Problem 2

If the side length of the cube is 1333 cm, what is the volume?

Okay, lets begin

The volume is 2,365,766,037 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 1333 for the side length: V = 1333³ = 2,365,766,037 cm³.

Well explained 👍

Problem 3

How much larger is 1333³ than 1300³?

Okay, lets begin

1333³ – 1300³ = 168,766,037.

Explanation

First, find the cube of 1333, which is 2,365,766,037.

Next, find the cube of 1300, which is 2,197,000,000.

Now, find the difference between them using the subtraction method. 2,365,766,037 – 2,197,000,000 = 168,766,037.

Therefore, 1333³ is 168,766,037 larger than 1300³.

Well explained 👍

Problem 4

If a cube with a side length of 1333 cm is compared to a cube with a side length of 300 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1333 cm is 2,365,766,037 cm³.

Explanation

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

Cubing 1333 means multiplying 1333 by itself three times: 1333 × 1333 = 1,776,889, and 1,776,889 × 1333 = 2,365,766,037.

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

Therefore, the volume of the cube is 2,365,766,037 cm³.

Well explained 👍

Problem 5

Estimate the cube of 1300 using the cube of 1333.

Okay, lets begin

The cube of 1300 is approximately 2,197,000,000.

Explanation

First, identify the cube of 1333. The cube of 1333 is 1333³ = 2,365,766,037.

Since 1300 is slightly less than 1333, the cube of 1300 will be somewhat less than the cube of 1333.

The cube of 1300 is approximately 2,197,000,000.

Well explained 👍

FAQs on Cube of 1333

1.What are the perfect cubes up to 1333?

The perfect cubes up to 1333 include 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

2.How do you calculate 1333³?

To calculate 1333³, use the multiplication method: 1333 × 1333 × 1333, which equals 2,365,766,037.

3.What is the meaning of 1333³?

1333³ means multiplying 1333 by itself three times, or 1333 × 1333 × 1333.

4.What is the cube root of 1333?

The cube root of 1333 is approximately 10.79.

5.Is 1333 a perfect cube?

No, 1333 is not a perfect cube because no integer multiplied by itself three times equals 1333.

Important Glossaries for Cube of 1333

  • 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 to 8.
  • Cube Root: The number which, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.
  • Perfect Cube: A number that is the cube of an integer. For example, 8 is a perfect cube of 2.

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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.