BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on June 3rd, 2025

Math Whiteboard Illustration

Cube of 380

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 380.

Cube of 380 for Indonesian Students
Professor Greenline from BrightChamps

Cube of 380

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 380 can be written as 380³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 380 × 380 × 380.

cube of 395

Professor Greenline from BrightChamps

How to Calculate the Value of Cube of 380

To check whether a number is a cube number or not, we can use the following three methods: 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
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. 380³ = 380 × 380 × 380

 

Step 2: You get 54,872,000 as the answer. Hence, the cube of 380 is 54,872,000.

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 380 into two parts. Let a = 300 and b = 80, so a + b = 380

 

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

 

Step 3: Calculate each term: a³ = 300³ 3a²b = 3 × 300² × 80 3ab² = 3 × 300 × 80² b³ = 80³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 80)³ = 300³ + 3 × 300² × 80 + 3 × 300 × 80² + 80³ 380³ = 27,000,000 + 21,600,000 + 5,760,000 + 512,000 380³ = 54,872,000

 

Step 5: Hence, the cube of 380 is 54,872,000.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 380 using a calculator, input the number 380 and use the cube function (if available) or multiply 380 × 380 × 380. This operation calculates the value of 380³, resulting in 54,872,000. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 3 followed by 8 and 0.

 

Step 3: If the calculator has a cube function, press it to calculate 380³.

 

Step 4: If there is no cube function on the calculator, simply multiply 380 three times manually.

 

Step 5: The calculator will display 54,872,000.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 380

  • 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 380

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, 380 × 380 and not 380 × 380 × 380. Always remember that 380³ = 380 × 380 × 380.

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 380

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

Problem 1

What is the cube and cube root of 380?

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

The cube of 380 is 54,872,000 and the cube root of 380 is approximately 7.268.

Explanation

First, let’s find the cube of 380.

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 380³ = 54,872,000 Next, we must find the cube root of 380

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 ∛380 ≈ 7.268 Hence the cube of 380 is 54,872,000 and the cube root of 380 is approximately 7.268.

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

Problem 2

If the side length of the cube is 380 cm, what is the volume?

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

The volume is 54,872,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 380 for the side length: V = 380³ = 54,872,000 cm³.

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

Problem 3

How much larger is 380³ than 300³?

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

380³ – 300³ = 27,872,000.

Explanation

First, find the cube of 380, which is 54,872,000

Next, find the cube of 300, which is 27,000,000

Now, find the difference between them using the subtraction method. 54,872,000 – 27,000,000 = 27,872,000

Therefore, 380³ is 27,872,000 larger than 300³.

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

Problem 4

If a cube with a side length of 380 cm is compared to a cube with a side length of 80 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 380 cm is 54,872,000 cm³.

Explanation

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

Cubing 380 means multiplying 380 by itself three times: 380 × 380 = 144,400, and then 144,400 × 380 = 54,872,000.

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

Therefore, the volume of the cube is 54,872,000 cm³.

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

Problem 5

Estimate the cube 379.9 using the cube 380.

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

The cube of 379.9 is approximately 54,872,000.

Explanation

First, identify the cube of 380,

The cube of 380 is 380³ = 54,872,000.

Since 379.9 is only a tiny bit less than 380, the cube of 379.9 will be almost the same as the cube of 380.

The cube of 379.9 is approximately 54,872,000 because the difference between 379.9 and 380 is very small.

So, we can approximate the value as 54,872,000.

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

FAQs on Cube of 380

1.What are the perfect cubes up to 380?

Math FAQ Answers Dropdown Arrow

2.How do you calculate 380³?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of 380³?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 380?

Math FAQ Answers Dropdown Arrow

5.Is 380 a perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Indonesia support learning Algebra topics such as Cube of 380?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Indonesia support learning Algebra and Cube of 380?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 380

  • 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, 3³ represents 3 × 3 × 3 equals 27.
     
  • Volume of a Cube: The amount of space inside a cube, calculated by raising the side length to the power of three (Side³).
     
  • Perfect Cube: A number that is the cube of an integer. For example, 27 is a perfect cube because it equals 3 × 3 × 3.
Professor Greenline from BrightChamps

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 380 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!
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