BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon114 Learners

Last updated on May 30th, 2025

Math Whiteboard Illustration

Cube of 223

Professor Greenline Explaining Math Concepts

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 cubes of 223.

Cube of 223 for Singaporean Students
Professor Greenline from BrightChamps

Cube of 223

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 223 can be written as 223³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 223 × 223 × 223.

cube of 223

Professor Greenline from BrightChamps

How to Calculate the Value of Cube of 223

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 (a3)
     
  • Using a Calculator
Professor Greenline from BrightChamps

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. 223³ = 223 × 223 × 223

 

Step 2: You get 11,080,167 as the answer.

 

Hence, the cube of 223 is 11,080,167.

Professor Greenline from BrightChamps

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 223 into two parts. Let a = 200 and b = 23, so a + b = 223

 

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

 

Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 23 3ab² = 3 × 200 × 23² b³ = 23³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 23)³ = 200³ + 3 × 200² × 23 + 3 × 200 × 23² + 23³ 223³ = 8,000,000 + 2,760,000 + 317,400 + 12,167 223³ = 11,080,167

 

Step 5: Hence, the cube of 223 is 11,080,167.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 223 using a calculator, input the number 223 and use the cube function (if available) or multiply 223 × 223 × 223. This operation calculates the value of 223³, resulting in 11,080,167. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 2 followed by 2 and 3

 

Step 3: If the calculator has a cube function, press it to calculate 223³.

 

Step 4: If there is no cube function on the calculator, simply multiply 223 three times manually.

 

Step 5: The calculator will display 11,080,167.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 223

  • 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.
Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Calculating the Cube of 223

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Incorrect Multiplication

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Kids might multiply the numbers only twice. That is, 223 × 223 and not 223 × 223 × 223. Always remember that 223³ = 223 × 223 × 223.

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 223

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

What is the cube and cube root of 223?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The cube of 223 is 11,080,167 and the cube root of 223 is approximately 6.017.

Explanation

First, let’s find the cube of 223.

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 223³ = 11,080,167 Next, we must find the cube root of 223

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 ∛223 ≈ 6.017

Hence the cube of 223 is 11,080,167 and the cube root of 223 is approximately 6.017.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

If the side length of the cube is 223 cm, what is the volume?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The volume is 11,080,167 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 223 for the side length: V = 223³ = 11,080,167 cm³.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

How much larger is 223³ than 200³?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

223³ – 200³ = 3,080,167.

Explanation

First find the cube of 223³, that is 11,080,167

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

Now, find the difference between them using the subtraction method. 11,080,167 – 8,000,000 = 3,080,167

Therefore, the 223³ is 3,080,167 larger than 200³.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

If a cube with a side length of 223 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The volume of the cube with a side length of 223 cm is 11,080,167 cm³.

Explanation

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

Cubing 223 means multiplying 223 by itself three times: 223 × 223 = 49,729, and then 49,729 × 223 = 11,080,167.

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

Therefore, the volume of the cube is 11,080,167 cm³.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Estimate the cube 222 using the cube 223.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The cube of 222 is approximately 11,080,167.

Explanation

First, identify the cube of 223,

The cube of 223 is 223³ = 11,080,167.

Since 222 is only a tiny bit less than 223, the cube of 222 will be almost the same as the cube of 223.

The cube of 222 is approximately 11,080,167 because the difference between 222 and 223 is very small.

So, we can approximate the value as 11,080,167.

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Cube of 223

1.What are the perfect cubes up to 223?

Math FAQ Answers Dropdown Arrow

2.How do you calculate 223³?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of 223³?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 223?

Math FAQ Answers Dropdown Arrow

5.Is 223 a perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Singapore support learning Algebra topics such as Cube of 223?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Singapore support learning Algebra and Cube of 223?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 223

  • 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 to 8.

 

  • Cube Root: The value that, when cubed, gives the original number. For example, the cube root of 8 is 2 because 2³ = 8.

 

  • Volume of a Cube: The amount of space inside a cube, calculated as the side length cubed (Side³).
Professor Greenline from BrightChamps

About BrightChamps in Singapore

At BrightChamps, algebra is more than just digits—it opens doors to countless possibilities! We are passionate about supporting kids all across Singapore in mastering vital math skills, like today’s focus on the Cube of 223, with a special focus on cubes—in a lively, easy-to-understand, and enjoyable way. Whether your child is figuring out how fast a roller coaster moves at Universal Studios Singapore, tracking scores at local football matches, or managing their allowance for the newest gadgets, mastering algebra builds their confidence in everyday life. Our interactive lessons make math fun and approachable. Since kids in Singapore learn differently, we customize our teaching to suit each learner’s style. From the city’s bustling streets to its beautiful gardens, BrightChamps brings algebra to life, making it exciting and meaningful across Singapore. Let’s make cubes a fun part of every child’s math journey!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

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

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom