Last updated on May 26th, 2025
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. In this article, we will learn about the cube root of 53.
The cube root of 53 is the number which, when multiplied three times, we get a number that is equal to 53. Let’s explore some steps and methods to calculate the cube root of 53.
The cube root of 53: ∛53= 3.75
The exponential form of the cube root of 53: 531/3
The radical form of the cube root of 53: ∛53
To find the cube root of 53, we use the following methods
:
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, 53
x = an approximate number close to the cube root of the number, 53: 33= 27
Let’s apply the formula and find the Cube Root:
A = 53, for the approximate method we choose, x = 3, it is the nearest cube (33= 27).
Now apply the formula;
∛a ≅ x((x3+2a) / (2x3+a))
∛53 ≅ 3((33+2 × 53) / (2 × 33+53)) = 3.75
Hence, the approximate cube of 53 ≅ 3.75
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:
What is ∛53 × 2?
Solution:
∛53 = 3.75
∛53 × 2 ≈ 3.75 × 2 = 7.5.
Doubling the cube root gives approximately 7.5
What is ∛53 + 4?
∛53 = 3.75
∛53 + 4 ≈ 3.75 + 4 = 7.75.
Adding 4 to the cube root yields approximately 7.75.
What is 53 divided by ∛53?
∛53 = 3.75
53 ÷ 3.75 ≈ 14.13
Dividing 53 by its cube root gives approximately 14.13.
Simplify 1/∛53.
∛53 = 3.75
1 ÷ 3.75 ≈ 0.26.
Taking the reciprocal of the cube root results in approximately 0.26.
If a volume is 53 cubic meters, what is the side of a cube with this volume?
V = 53
Side (S) = ∛53
∛53 ≈ 3.75 meters.
Taking the cube root of the volume gives the cube’s side.
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.
: He loves to play the quiz with kids through algebra to make kids love it.