BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon148 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Cube Root Of 361

Professor Greenline Explaining Math Concepts

A cube root of a number is a value, when it is multiplied by itself three times, gives the original number. Imagine you have a cube (box) with the known volume. The cube root helps us determine the length of one side of the box.

Cube Root Of 361 for Indonesian Students
Professor Greenline from BrightChamps

What Is The Cube Root Of 361?

The cube root of 361 is the number which, when multiplied three times, we get a number that is equal to 361. Let’s explore some steps and methods to calculate the cube root of 361.


The cube root of 361: ∛361 = 7.12


The exponential form of the cube root of 361: 3611/3


The radical form of the cube root of 361: ∛361
 

Professor Greenline from BrightChamps

Finding The Cube Root Of 361

To find the cube root of 361, we use the following methods:

 

 

  • Prime factorization
  • Approximation method
  • Long division 
  • Subtraction method
  • Halley’s method is used for those numbers which are not perfect cubes.
Professor Greenline from BrightChamps

Cube Root Of 361 By Halley’s Method

We use the below formula to find the cube root using Halley’s Method;
∛a ≅ x((x3+2a) / (2x3+a))


In the formula; 
a = given number, 361
x = an approximate number close to the cube root of the number, 361:  73= 343


Let’s apply the formula and find the Cube Root:
A = 361, for the approximate method we choose, x = 7, it is the nearest cube (73= 343). 


Now apply the formula; 


∛a ≅ x((x3+2a) / (2x3+a))


∛361 ≅ 7((73+2 × 361) / (2 × 73+361)) = 7.12


Hence, the approximate cube of 361 ≅ 7.12
 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Cube Root of 361

While learning about cube roots, children making mistakes is common, so to avoid a few mistakes that are likely to happen, below are a few mistakes and how to avoid these:

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Getting confused with the cube root and square root
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students sometimes multiply the same number twice instead of thrice, which makes it a square root and not a cube root. Because of this, improper results are to be found. To avoid these, students should practice square roots and cube roots regularly.
 

Max from BrightChamps Saying "Hey"

Cube Root of 361 Examples

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

Problem 1

Find the value of x if x³ = 361

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

 x³ = 361
 To find x, take the cube root of both sides. X = ∛361 = 7.12.
 

Explanation

 To solve x³ = 361, find the cube root of 361, which is approximately 7.1. This gives x.
 

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

Problem 2

Find the cube root of 361 and multiply it by 5.

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

 âˆ›361 = 7.12


7.12 × 5 = 35.6
 

Explanation

The cube root of 361 is 7.12. Then, multiply that result by 5. It gives 35.6
 

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

Problem 3

Find the cube root of 361 and subtract 3.

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

.∛361 = 7.12


7.12 – 3= 4.12.
 

Explanation

The cube root of 361 is 7.12. Now subtract 3 from 7.12 it gives 4.12.
 

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

Problem 4

Find the value of (∛361) + 2.

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

∛361 = 7.12


(7.12+2) = 9.12.

Explanation

The cube root of 361 is about 7.12. Adding 2 to 7.12 gives 9.12 as the answer

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

FAQs For Cube Root Of 361

1.What is the cube root of 361?

Math FAQ Answers Dropdown Arrow

2. Is 361 a perfect cube?

Math FAQ Answers Dropdown Arrow

3.How is the cube root different from the square root?

Math FAQ Answers Dropdown Arrow

4.Can the cube root of 361 be written as a fraction?

Math FAQ Answers Dropdown Arrow

5. What is the cube root of 361 in exponential form?

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 Root Of 361?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Indonesia support learning Algebra and Cube Root Of 361?

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 Root of 361

  • Whole numbers — The whole numbers are the set of numbers that consists of natural numbers and zero. Example: 0,1,2,3………..

 

  • Square root  —A number’s square root is considered a number that when it is multiplied by itself results in the same number. Example: √4 is 2.

 

  • Exponent: It is a number which represents how many times a base number should be multiplied.Example: 42=4 x 4 = 16

 

  • Irrational number: The number that cannot be expressed in the form of fraction. Example: √2 is an irrational number.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, we believe algebra is more than symbols—it opens up countless opportunities! We’re here to help children across Indonesia develop key math skills, focusing today on the Cube Root Of 361 with an emphasis on understanding cube roots—in a way that’s lively, fun, and easy to follow. Whether your child is measuring the speed of a roller coaster at Dunia Fantasi, keeping track of scores at a local badminton game, or managing their allowance for the latest gadgets, mastering algebra boosts their confidence for everyday tasks. Our interactive lessons make learning simple and enjoyable. Because children in Indonesia learn in many ways, we adapt our teaching to each child’s needs. From the busy streets of Jakarta to the beautiful beaches of Bali, BrightChamps brings math to life, making it engaging all across Indonesia. Let’s make cube roots an exciting 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