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Last updated on June 2nd, 2025

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Cube of 523

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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 the cube of 523.

Cube of 523 for Australian Students
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Cube of 523

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 523 can be written as 523³, which is the exponential form. Or it can also be written in arithmetic form as, 523 × 523 × 523.

cube of 523

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How to Calculate the Value of Cube of 523

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 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
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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.

523³ = 523 × 523 × 523

 

Step 2: You get 143,489,047 as the answer.

 

Hence, the cube of 523 is 143,489,047.

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Using a Formula (a³)

The formula (a + b)³ is a binomial formula for finding the cube of a number.

formula is expanded as a³ + 3a²b + 3ab² + b³.

 

Step 1: Split the number 523 into two parts.

Let a = 500 and b = 23, so a + b = 523

 

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

 

Step 3: Calculate each term a³ = 500³ , 3a²b = 3 × 500² × 23 , 3ab² = 3 × 500 × 23² ,  b³ = 23³

 

Step 4: Add all the terms together: (500 + 23)³ = 500³ + 3 × 500² × 23 + 3 × 500 × 23² + 23³ 523³

= 125,000,000 + 17,250,000 + 793,500 + 12,167 523³

= 143,489,047

 

Step 5: Hence, the cube of 523 is 143,489,047.

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Using a Calculator

To find the cube of 523 using a calculator, input the number 523 and use the cube function (if available) or multiply 523 × 523 × 523. This operation calculates the value of 523³, resulting in 143,489,047. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 5 followed by 2 and 3

 

Step 3: If the calculator has a cube function, press it to calculate 523³.

 

Step 4: If there is no cube function on the calculator, simply multiply 523 three times manually.

 

Step 5: The calculator will display 143,489,047.

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Tips and Tricks for the Cube of 523

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.

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Common Mistakes to Avoid When Calculating the Cube of 523

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

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Incorrect Multiplication

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Kids might multiply the numbers only twice.

That is, 523 × 523 and not 523 × 523 × 523.

Always remember that 523³ = 523 × 523 × 523.

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Solved Examples on Cube of 523

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Problem 1

What is the cube and cube root of 523?

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The cube of 523 is 143,489,047 and the cube root of 523 is approximately 8.06.

Explanation

First, let’s find the cube of 523.

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 523³ = 143,489,047

Next, we must find the cube root of 523

We know that the cube root of a number ‘x’ is such that √x = y

Where x is the given number, and y is the cube root value of the number

So, we get √523 ≈ 8.06

Hence the cube of 523 is 143,489,047 and the cube root of 523 is approximately 8.06.

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Problem 2

If the side length of a cube is 523 cm, what is the volume?

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The volume is 143,489,047 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 523 for the side length: V = 523³ = 143,489,047 cm³.

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Problem 3

How much larger is 523³ than 500³?

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523³ – 500³ = 18,489,047.

Explanation

First find the cube of 523, that is 143,489,047

Next, find the cube of 500, which is 125,000,000

Now, find the difference between them using the subtraction method.

143,489,047 – 125,000,000 = 18,489,047

Therefore, 523³ is 18,489,047 larger than 500³.

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Problem 4

If a cube with a side length of 523 cm is compared to a cube with a side length of 23 cm, how much larger is the volume of the larger cube?

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The volume of the cube with a side length of 523 cm is 143,489,047 cm³.

Explanation

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

Cubing 523 means multiplying 523 by itself three times: 523 × 523 = 273,529, and then 273,529 × 523 = 143,489,047.

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

Therefore, the volume of the cube is 143,489,047 cm³.

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Problem 5

Estimate the cube of 522.9 using the cube of 523.

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The cube of 522.9 is approximately 143,489,047.

Explanation

First, identify the cube of 523.

The cube of 523 is 523³ = 143,489,047.

Since 522.9 is only a tiny bit less than 523, the cube of 522.9 will be almost the same as the cube of 523.

The cube of 522.9 is approximately 143,489,047 because the difference between 522.9 and 523 is very small.

So, we can approximate the value as 143,489,047.

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FAQs on Cube of 523

1.What are the perfect cubes up to 523?

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2.How do you calculate 523³?

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3.What is the meaning of 523³?

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4.What is the cube root of 523?

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5.Is 523 a perfect cube?

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6.How does learning Algebra help students in Australia make better decisions in daily life?

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7.How can cultural or local activities in Australia support learning Algebra topics such as Cube of 523?

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8.How do technology and digital tools in Australia support learning Algebra and Cube of 523?

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9.Does learning Algebra support future career opportunities for students in Australia?

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Important Glossaries for Cube of 523

  • 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.

     
  • 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 8.

     
  • Perfect Cube: A number that can be expressed as the cube of an integer.

     
  • Volume: The amount of space occupied by a 3-dimensional object, calculated as the cube of its side length for a cube.
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About BrightChamps in Australia

At BrightChamps, algebra is much more than digits—it opens doors to unlimited possibilities! We are committed to helping kids all across Australia master important math skills, including today’s focus on the Cube of 523, with a special spotlight on cubes—in a fun, engaging, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, keeping score at a local cricket match, or managing their allowance for the latest gadgets, mastering algebra builds their confidence for daily life. Our interactive lessons make math learning simple and enjoyable. Because children in Australia learn in different ways, we adapt our approach to suit each child’s style. From Sydney’s vibrant streets to the beautiful beaches of the Gold Coast, BrightChamps brings algebra to life, making it exciting and relatable all over Australia. Let’s make cubes a fun part of every child’s math journey!
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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.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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