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Last updated on June 1st, 2025

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Cube of 563

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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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 563.

Cube of 563 for Indonesian Students
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Cube of 563

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 563 can be written as 563³, which is the exponential form.

 

Or it can also be written in arithmetic form as 563 × 563 × 563.

cube of 563

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How to Calculate the Value of Cube of 563

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.

 

  • 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. 563³ = 563 × 563 × 563

 

Step 2: You get 178,827,347 as the answer. Hence, the cube of 563 is 178,827,347.

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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 563 into two parts, as 500 and 63. Let a = 500 and b = 63, so a + b = 563

 

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

 

Step 3: Calculate each term a³ = 500³ 3a²b = 3 × 500² × 63 3ab² = 3 × 500 × 63² b³ = 63³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (500 + 63)³ = 500³ + 3 × 500² × 63 + 3 × 500 × 63² + 63³ 563³ = 125,000,000 + 47,250,000 + 5,985,000 + 250,047 563³ = 178,827,347

 

Step 5: Hence, the cube of 563 is 178,827,347.

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Using a Calculator

To find the cube of 563 using a calculator, input the number 563 and use the cube function (if available) or multiply 563 × 563 × 563. This operation calculates the value of 563³, resulting in 178,827,347. 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 6, then 3.

 

Step 3: If the calculator has a cube function, press it to calculate 563³.

 

Step 4: If there is no cube function on the calculator, simply multiply 563 three times manually.

 

Step 5: The calculator will display 178,827,347.

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Tips and Tricks for the Cube of 563

  • 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 563

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, 563 × 563 and not 563 × 563 × 563. Always remember that 563³ = 563 × 563 × 563.

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Solved Examples on Cube of 563

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Problem 1

What is the cube and cube root of 563?

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The cube of 563 is 178,827,347 and the cube root of 563 is approximately 8.234.

Explanation

First, let’s find the cube of 563.

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 563³ = 178,827,347 Next, we must find the cube root of 563

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 ∛563 ≈ 8.234

Hence the cube of 563 is 178,827,347 and the cube root of 563 is approximately 8.234.

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Problem 2

If the side length of the cube is 563 cm, what is the volume?

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The volume is 178,827,347 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 563 for the side length: V = 563³ = 178,827,347 cm³.

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Problem 3

How much larger is 563³ than 403³?

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563³ – 403³ = 178,827,347 – 64,000 = 178,763,347.

Explanation

First, find the cube of 563, which is 178,827,347.

Next, find the cube of 403, which is 64,000.

Now, find the difference between them using the subtraction method. 178,827,347 – 64,000 = 178,763,347

Therefore, 563³ is 178,763,347 larger than 403³.

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Problem 4

If a cube with a side length of 563 cm is compared to a cube with a side length of 10 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 563 cm is 178,827,347 cm³, which is 178,826,347 cm³ larger than the volume of the cube with a side length of 10 cm.

Explanation

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

Cubing 563 means multiplying 563 by itself three times: 563 × 563 = 316,969, and then 316,969 × 563 = 178,827,347.

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

Therefore, the volume of the cube is 178,827,347 cm³. The volume of the cube with side 10 cm = 10³ = 1,000 cm³.

The larger cube is 178,827,347 - 1,000 = 178,826,347 cm³ larger.

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Problem 5

Estimate the cube of 562.9 using the cube of 563.

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The cube of 562.9 is approximately 178,827,347.

Explanation

First, identify the cube of 563,

The cube of 563 is 563³ = 178,827,347.

Since 562.9 is only a tiny bit less than 563, the cube of 562.9 will be almost the same as the cube of 563.

The cube of 562.9 is approximately 178,827,347 because the difference between 562.9 and 563 is very small.

So, we can approximate the value as 178,827,347.

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FAQs on Cube of 563

1.What are the perfect cubes up to 563?

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2.How do you calculate 563³?

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3.What is the meaning of 563³?

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4.What is the cube root of 563?

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5.Is 563 a perfect cube?

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

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7.How can cultural or local activities in Indonesia support learning Algebra topics such as Cube of 563?

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8.How do technology and digital tools in Indonesia support learning Algebra and Cube of 563?

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

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Important Glossaries for Cube of 563

  • 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.
     
  • Perfect Cube: A number that can be expressed as the cube of an integer.
     
  • Cube Root: The value that, when multiplied by itself three times, gives the original number. The cube root of x is represented as ∛x.
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About BrightChamps in Indonesia

At BrightChamps, algebra is more than just symbols—it opens up a world of possibilities! We are passionate about helping children throughout Indonesia develop key math skills, with today’s spotlight on the Cube of 563 and a special focus on cubes—in an engaging, clear, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Dunia Fantasi, keeping track of scores at a local badminton match, or managing their allowance for the latest gadgets, mastering algebra gives them the confidence to tackle everyday problems. Our interactive sessions make learning both fun and simple. Because kids in Indonesia have different learning styles, we adjust our methods to suit each child’s needs. From Jakarta’s busy streets to Bali’s stunning beaches, BrightChamps brings algebra to life, making it exciting and meaningful across Indonesia. 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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