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

Last updated on May 28th, 2025

Math Whiteboard Illustration

Cube of 473

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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 473.

Cube of 473 for Saudi Students
Professor Greenline from BrightChamps

Cube of 473

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 473 can be written as 473³, which is the exponential form. Or it can also be written in arithmetic form as 473 × 473 × 473.

 

cube of 473

Professor Greenline from BrightChamps

How to Calculate the Value of Cube of 473

In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help you cube 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
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. 473³ = 473 × 473 × 473

 

Step 2: You get 105,188,617 as the answer. Hence, the cube of 473 is 105,188,617.

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 473 into two parts. Let a = 470 and b = 3, so a + b = 473

 

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

 

Step 3: Calculate each term a³ = 470³ 3a²b = 3 × 470² × 3 3ab² = 3 × 470 × 3² b³ = 3³

 

Step 4: Add all the terms together:

 

(a + b)³ = a³ + 3a²b + 3ab² + b³

 

(470 + 3)³ = 470³ + 3 × 470² × 3 + 3 × 470 × 3² + 3³

 

473³ = 103,823,000 + 1,989,000 + 12,690 + 27

 

473³ = 105,188,617

 

Step 5: Hence, the cube of 473 is 105,188,617.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 473 using a calculator, input the number 473 and use the cube function (if available) or multiply 473 × 473 × 473. This operation calculates the value of 473³, resulting in 105,188,617. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 4, 7, and 3

 

Step 3: If the calculator has a cube function, press it to calculate 473³.

 

Step 4: If there is no cube function on the calculator, simply multiply 473 three times manually.

 

Step 5: The calculator will display 105,188,617.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 473

  • 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 473

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

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

There might be a mistake of multiplying the numbers only twice. That is, 473 × 473 and not 473 × 473 × 473. Always remember that 473³ = 473 × 473 × 473.

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 473

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

Problem 1

What is the cube and cube root of 473?

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

The cube of 473 is 105,188,617 and the cube root of 473 is approximately 7.775.

Explanation

First, let’s find the cube of 473.

 

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 473³ = 105,188,617

 

Next, we must find the cube root of 473. We know that the cube root of a number 'x', such that ³√x = y Where 'x' is the given number, and y is the cube root value of the number

 

So, we get ³√473 ≈ 7.775

 

Hence the cube of 473 is 105,188,617 and the cube root of 473 is approximately 7.775.

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

Problem 2

If the side length of a cube is 473 cm, what is the volume?

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

The volume is 105,188,617 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 473 for the side length: V = 473³ = 105,188,617 cm³.

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

Problem 3

How much larger is 473³ than 370³?

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

473³ - 370³ = 84,243,617.

Explanation

First, find the cube of 473, which is 105,188,617.

 

Next, find the cube of 370, which is 20,945,000.

 

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

 

105,188,617 - 20,945,000 = 84,243,617

 

Therefore, 473³ is 84,243,617 larger than 370³.

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

Problem 4

If a cube with a side length of 473 cm is compared to a cube with a side length of 10 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 473 cm is 105,188,617 cm³.

Explanation

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

 

Cubing 473 means multiplying 473 by itself three times.

 

Therefore, the volume of the cube is 105,188,617 cm³.

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

Problem 5

Estimate the cube of 472 using the cube of 473.

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

The cube of 472 is approximately 105,188,617.

Explanation

First, identify the cube of 473,

 

The cube of 473 is 473³ = 105,188,617.

 

Since 472 is only slightly less than 473, the cube of 472 will be almost the same as the cube of 473.

 

The cube of 472 is approximately 105,188,617 because the difference between 472 and 473 is very small.

 

So, we can approximate the value as 105,188,617.

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

FAQs on Cube of 473

1.What are the perfect cubes up to 473?

Math FAQ Answers Dropdown Arrow

2.How do you calculate 473³?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of 473³?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 473?

Math FAQ Answers Dropdown Arrow

5.Is 473 a perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Cube of 473?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Saudi Arabia support learning Algebra and Cube of 473?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 473

  • 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 enclosed by a cube, calculated as the side length raised to the third power.
Professor Greenline from BrightChamps

About BrightChamps in Saudi Arabia

At BrightChamps, algebra means more than just figures—it unlocks endless opportunities! Our mission is to support kids all across Saudi Arabia in learning key math concepts, including today’s focus on the Cube of 473 with a special highlight on cubes—in a fun, clear, and engaging way. Whether your child is figuring out the speed of a roller coaster at Riyadh’s Al Hokair Land, following scores at a local football match, or budgeting their allowance for the latest gadgets, mastering algebra boosts their confidence for everyday challenges. Our interactive lessons make learning simple and fun. Since kids in Saudi Arabia have different ways of learning, we customize our approach to each child’s style. From Riyadh’s bustling streets to Jeddah’s historic sites, BrightChamps brings algebra to life, making it exciting and relevant across Saudi Arabia. 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