Last updated on May 26th, 2025
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.
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.
To calculate The Cube Root Of 27 we Have Two Methods Mainly
i) Prime Factorisation Method.
ii) Subtraction 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.
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
In finding out the cubic root for 27, the common mistakes happen so lets see some of the mistakes and how to solve them.
The Volume of a cube is 27 cubic centimeters, find the length of one side of the cube.
Answer: 3 centimeters
Volume of cube = a3, where a is the side length
Equation: a3 = 27
Apply the cube root: a = ∛27
Simplify: a = 3
Is the cube root of a positive number always positive?
Answer: Yes
This is because a negative number multiplied by itself (like three) will always result in a negative number. For example, -3✖-3✖-3 = -27
What is the cube root of -27?
Answer: -3
-3 multiplied by itself three times equals -27: -3 x -3 x -3 = -27.
Is 27 a perfect cube?
Yes
27 can be expressed as 3✖3✖3 = 27. Multiplying the digit 3, thrice, results in 27 which means 27 is a perfect cube.
What is the relationship between the cube root 27 and the cube of a number?
The cube root and the cube of a number are inverse operations.
The cube root of 27 is 3. If you cube 3, you get 27.
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.
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