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Last updated on June 3rd, 2025

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Cube of 208

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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 cubes of 208.

Cube of 208 for Australian Students
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Cube of 208

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 208 can be written as 208³, which is the exponential form. Or it can also be written in arithmetic form as, 208 × 208 × 208.

cube of 208

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How to Calculate the Value of Cube of 208

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.

208³ = 208 × 208 × 208

 

Step 2: You get 9,011,392 as the answer.

 

Hence, the cube of 208 is 9,011,392.

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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 208 into two parts, as 200 and 8.

Let a = 200 and b = 8, so a + b = 208

 

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

 

Step 3: Calculate each term a³= 200³, 3a²b = 3 × 200² × 8 , 3ab² = 3 × 200 × 8² , b³ = 8³

 

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

(200 + 8)³ = 200³ + 3 × 200² × 8 + 3 × 200 × 8² + 8³ 208³

= 8,000,000 + 960,000 + 38,400 + 512 208³ = 9,011,392

 

Step 5: Hence, the cube of 208 is 9,011,392.

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Using a Calculator

To find the cube of 208 using a calculator, input the number 208 and use the cube function (if available) or multiply 208 × 208 × 208. This operation calculates the value of 208³, resulting in 9,011,392. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 2, 0, 8

 

Step 3: If the calculator has a cube function, press it to calculate 208³.

 

Step 4: If there is no cube function on the calculator, simply multiply 208 three times manually.

 

Step 5: The calculator will display 9,011,392.

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Tips and Tricks for the Cube of 208

  • 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 208

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, 208 × 208 and not 208 × 208 × 208. Always remember that 208³ = 208 × 208 × 208.

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Solved Examples on Cube of 208

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Problem 1

What is the cube and cube root of 208?

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The cube of 208 is 9,011,392 and the cube root of 208 is approximately 5.935.

Explanation

First, let’s find the cube of 208.

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 208³ = 9,011,392

Next, we must find the cube root of 208

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 ∛208 ≈ 5.935

Hence the cube of 208 is 9,011,392 and the cube root of 208 is approximately 5.935.

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Problem 2

If the side length of the cube is 208 cm, what is the volume?

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The volume is 9,011,392 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 208 for the side length: V = 208³ = 9,011,392 cm³.

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Problem 3

How much larger is 208³ than 200³?

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208³ – 200³ = 1,011,392.

Explanation

First find the cube of 208³, that is 9,011,392

Next, find the cube of 200³, which is 8,000,000

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

9,011,392 – 8,000,000 = 1,011,392

Therefore, 208³ is 1,011,392 larger than 200³.

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Problem 4

If a cube with a side length of 208 cm is compared to a cube with a side length of 100 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 208 cm is 9,011,392 cm³.

Explanation

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

Cubing 208 means multiplying 208 by itself three times: 208 × 208 = 43,264, and then 43,264 × 208 = 9,011,392.

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

Therefore, the volume of the cube is 9,011,392 cm³.

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Problem 5

Estimate the cube of 208.1 using the cube of 208.

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The cube of 208.1 is approximately 9,011,392.

Explanation

First, identify the cube of 208, The cube of 208 is 208³ = 9,011,392.

Since 208.1 is only a tiny bit more than 208, the cube of 208.1 will be almost the same as the cube of 208.

The cube of 208.1 is approximately 9,011,392 because the difference between 208.1 and 208 is very small.

So, we can approximate the value as 9,011,392.

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FAQs on Cube of 208

1.What are the perfect cubes up to 208?

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2.How do you calculate 208³?

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3.What is the meaning of 208³?

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4.What is the cube root of 208?

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5.Is 208 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 208?

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8.How do technology and digital tools in Australia support learning Algebra and Cube of 208?

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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 208

  • 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 8.

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

     
  • Volume of a Cube: The amount of space occupied by a cube, calculated as the cube of its side length, or side³.
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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 208, 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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