BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon286 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Cube root of 27

Professor Greenline Explaining Math Concepts

Cube root of 27 is nothing but the number which when multiplied by it for 3 times gives the result as 27. They are utilized in loudspeaker technology as well as in pharmacology for determining the dosage of a medicine on the basis of patient body weight. Cube root of 27 is nothing but the number which when multiplied by it for 3 times gives the result as 27. They are utilized in loudspeaker technology as well as in pharmacology for determining the dosage of a medicine on the basis of patient body weight.

Cube root of 27 for Vietnamese Students
Professor Greenline from BrightChamps

What is the cube root of 27?

The cube root of 27 is 3. ∛27 — Radical notation for the cube root of 27. This can just be written as (27)â…“ in simpler terms.
 

Professor Greenline from BrightChamps

Finding the cube root of 27

To calculate The Cube Root Of 27 we Have Two Methods Mainly


i) Prime Factorisation Method.


ii) Subtraction method.
 

Professor Greenline from BrightChamps

Cube root of 27 by Prime Factorization method

Finding a cube root of 27 through the Prime Factorization method involves determining the factor of 27.


Step 1 — Find the prime factors of 27. 
 

 

 

So the prime factor of 27 is 3×3×3


Step 2 — Group the factors of 27 together in a group of 3(i.e., power of 3).


Step 3– Here, we get the factor 3 in the power of 3, i.e., 33 or 3×3×3 

 

The cube root of 27 can be written as ∛27 = ∛(3×3×3) = 3 

 

 

Therefore, the cube root of 27 is 3.

 

Professor Greenline from BrightChamps

Cube root of 27 by Subtraction method

This method involves subtracting successive odd numbers repeatedly. The list of odd numbers that should be subtracted successively are →

1,7,19,37,61,91,127,169,217,331,397 … This iteration will continue till we get a zero. 

 

Step 1 — Subtract the 1st odd number : 27–1 = 26 


Step 2 — Subtract the next odd number: 26–7 = 19


Step 3 — Subtract the next odd number: 19–19 = 0


Here, the subtraction took place in three steps to reach zero.


Hence, the cube root of 27 is 3.

 

27-1 = 26


26-7 = 19


19-19 = 0

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in the Cube Root of 27

In finding out the cubic root for 27, the common mistakes happen so lets see some of the mistakes and how to solve them.
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Failure to decompose into the prime factors in the most reduced form.

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Simplify the problem after prime factorization.


The prime factor of 27 is 3.


In order to determine the cube root of given 27, we have to make a triplet of a set of 3 numbers.


Since 27 is a perfect cube, we have a triplet of the factor  3


Therefore, ∛(3✖3✖3) = 3 

Max from BrightChamps Saying "Hey"

Cube Root of 27Examples

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

Problem 1

The Volume of a cube is 27 cubic centimeters, find the length of one side of the cube.

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

Answer:  3 centimeters

Explanation

Volume of cube = a3, where a is the side length


Equation:  a3 = 27


Apply the cube root:  a = ∛27


Simplify: a = 3 
 

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

Problem 2

Is the cube root of a positive number always positive?

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

Answer:    Yes
 

Explanation

This is because a negative number multiplied by itself (like three) will always result in a negative number. For example, -3✖-3✖-3 = -27
 

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

Problem 3

What is the cube root of -27?

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

Answer: -3
 

Explanation

 -3 multiplied by itself three times equals -27: -3 x -3 x -3 = -27.
 

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

Problem 4

Is 27 a perfect cube?

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

Yes
 

Explanation

27 can be expressed as 3✖3✖3 = 27. Multiplying the digit 3, thrice, results in 27 which means 27 is a perfect cube.  
 

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

Problem 5

What is the relationship between the cube root 27 and the cube of a number?

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

The cube root and the cube of a number are inverse operations. 

Explanation

The cube root of 27 is 3. If you cube 3, you get 27.
 

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

FAQs on 27 Cube Root

1.What is √27?

Math FAQ Answers Dropdown Arrow

2.List the factors of 27.

Math FAQ Answers Dropdown Arrow

3.How will you solve √27 from 3?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 64?

Math FAQ Answers Dropdown Arrow

5. Is 300 perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Vietnam support learning Algebra topics such as Cube root of 27?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Vietnam support learning Algebra and Cube root of 27?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube Root of 27

  • Integers:These are numbers that can be positive, negative, or zero, but can never be fractions. All the above Engineering mathematics dido contents can be done with Integers and those includes the four basic arithmetic operations. The examples of integers are, 1, 2, 5,8, -9, -12 et cetera.

 

  • Whole numbers:Zero and all of the natural numbers collectively known as whole numbers are also a part of the number system that extends in positive direction from zero and goes towards infinity.

 

  • Square root:A square root of a number is defined as a value which when multiplied by itself will give the original figure as the resultant.
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, we recognize algebra as more than just symbols—it’s a key to opening countless doors! We’re dedicated to helping children across Vietnam master important math concepts, focusing today on the Cube root of 27 with a special focus on understanding cube roots—in an engaging, enjoyable, and clear way. Whether your child is figuring out the speed of a roller coaster at Suoi Tien Theme Park, tracking scores at a local football match, or managing their allowance to buy the newest gadgets, mastering algebra gives them the confidence to tackle daily challenges. Our interactive lessons make learning straightforward and fun. Knowing that kids in Vietnam learn differently, we customize our approach to fit each child’s learning style. From the vibrant streets of Ho Chi Minh City to the stunning beauty of Ha Long Bay, BrightChamps makes math exciting and relevant throughout Vietnam. Let’s make cube roots a fun part of every child’s math adventure!
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