BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon101 Learners

Last updated on May 28th, 2025

Math Whiteboard Illustration

Cube of 602

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 602.

Cube of 602 for Bahraini Students
Professor Greenline from BrightChamps

Cube of 602

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 602 can be written as 6023, which is the exponential form. Or it can also be written in arithmetic form as 602 × 602 × 602.

 

cube of 600

 

 

Professor Greenline from BrightChamps

How to Calculate the Value of Cube of 602

In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a3), or by using a calculator. These three methods will help you cube the 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. 6023 = 602 × 602 × 602

 

Step 2: You get 218,792,408 as the answer. Hence, the cube of 602 is 218,792,408.

Professor Greenline from BrightChamps

Using a Formula (a^3)

The formula (a + b)^3 is a binomial formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3.

 

Step 1: Split the number 602 into two parts. Let a = 600 and b = 2, so a + b = 602

 

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

 

Step 3: Calculate each term a3 = 6003

 

3a2b = 3 × 6002 × 2

 

3ab2 = 3 × 600 × 22

 

b3 = 23

 

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

 

(600 + 2)3 = 6003 + 3 × 6002 × 2 + 3 × 600 × 22 + 23

 

6023 = 216,000,000 + 2,160,000 + 7,200 + 8

 

6023 = 218,792,408

 

Step 5: Hence, the cube of 602 is 218,792,408.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 602 using a calculator, input the number 602 and use the cube function (if available) or multiply 602 × 602 × 602. This operation calculates the value of 6023, resulting in 218,792,408. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 6 followed by 0 and 2

 

Step 3: If the calculator has a cube function, press it to calculate 6023.

 

Step 4: If there is no cube function on the calculator, simply multiply 602 three times manually.

 

Step 5: The calculator will display 218,792,408.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 602

  • 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 602

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 tendency to multiply the numbers only twice. That is, 602 × 602 and not 602 × 602 × 602. Always remember that 6023 = 602 × 602 × 602.

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 602

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

Problem 1

What is the cube and cube root of 602?

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

The cube of 602 is 218,792,408 and the cube root of 602 is approximately 8.42.

Explanation

First, let’s find the cube of 602. 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 6023 = 218,792,408.

 

Next, we must find the cube root of 602. 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 ∛602 ≈ 8.42.

 

Hence, the cube of 602 is 218,792,408 and the cube root of 602 is approximately 8.42.

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

Problem 2

If the side length of the cube is 602 cm, what is the volume?

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

The volume is 218,792,408 cm3.

Explanation

Use the volume formula for a cube V = Side3.

 

Substitute 602 for the side length: V = 6023 = 218,792,408 cm3.

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

Problem 3

How much larger is 602³ than 502³?

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

6023 – 5023 = 153,792,408.

Explanation

First, find the cube of 602, which is 218,792,408.

 

Next, find the cube of 502, which is 125,000,000.

 

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

 

218,792,408 – 125,000,000 = 93,792,408.

 

Therefore, 6023 is 93,792,408 larger than 5023.

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

Problem 4

If a cube with a side length of 602 cm is compared to a cube with a side length of 300 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 602 cm is 218,792,408 cm3.

Explanation

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

 

Cubing 602 means multiplying 602 by itself three times: 602 × 602 = 362,404, and then 362,404 × 602 = 218,792,408.

 

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

 

Therefore, the volume of the cube is 218,792,408 cm3.

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

Problem 5

Estimate the cube of 601.9 using the cube of 602.

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

The cube of 601.9 is approximately 218,792,408.

Explanation

First, identify the cube of 602, The cube of 602 is 6023 = 218,792,408. Since 601.9 is only a tiny bit less than 602, the cube of 601.9 will be almost the same as the cube of 602.

 

The cube of 601.9 is approximately 218,792,408 because the difference between 601.9 and 602 is very small.

 

So, we can approximate the value as 218,792,408.

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

FAQs on Cube of 602

1.What are the perfect cubes close to 602?

Math FAQ Answers Dropdown Arrow

2.How do you calculate 602³?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of 602^3?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 602?

Math FAQ Answers Dropdown Arrow

5.Is 602 a perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Bahrain support learning Algebra topics such as Cube of 602?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Bahrain support learning Algebra and Cube of 602?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 602

  • 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 is the cube of an integer. For example, 27 is a perfect cube because it is 33.

 

  • Cube Root: The cube root of a number is a value that, when cubed (raised to the power of three), gives the original number. For example, the cube root of 8 is 2 because 23 = 8.
Professor Greenline from BrightChamps

About BrightChamps in Bahrain

At BrightChamps, algebra is more than just digits—it unlocks endless opportunities! We strive to help kids all across Bahrain develop key math skills, focusing today on the Cube of 602 with an exciting look at cubes—in a lively, clear, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Bahrain’s Wahooo! Waterpark, tracking football scores, or managing their allowance for the latest gadgets, mastering algebra gives them confidence in everyday challenges. Our interactive lessons make math easy and fun. Because kids in Bahrain learn differently, we tailor our teaching to each child’s learning style. From Manama’s lively city life to Bahrain’s peaceful beaches, BrightChamps makes algebra come alive, making it exciting and relevant across Bahrain. 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