146 LearnersLast updated on May 26th, 2025
Cube Root of 2744
A number we multiply by itself three times to get the original number is its cube root. It has various uses in real life, such as finding the volume of cube-shaped objects and designing structures. We will now find the cube root of 2744 and explain the methods used.
What is the Cube Root of 2744?
We have learned the definition of the cube root. Now, let’s learn how it is represented using a symbol and exponent. The symbol we use to express the cube root is the radical sign (∛), and the exponent we use is ⅓.
In exponential form, ∛2744 is written as 2744^(1/3). The cube root is just the opposite operation of finding the cube of a number. For example: Assume ‘y’ as the cube root of 2744, then y³ can be 2744. Since 2744 is a perfect cube, its cube root is an exact value, which is 14.
Finding the Cube Root of 2744
Finding the cube root of a number is to identify the number that must be multiplied three times resulting in the target number. Now, we will go through the different ways to find the cube root of 2744. The common methods we follow to find the cube root are given below:
- Prime factorization method
- Approximation method
- Subtraction method
- Halley’s method
Since 2744 is a perfect cube, we can use the prime factorization method to find its cube root.
Cube Root of 2744 by Prime Factorization Method
Let's find the cube root of 2744 using the prime factorization method.
First, we find the prime factors of 2744: 2744 = 2 × 2 × 2 × 7 × 7 × 7
Grouping the factors in triples, we have: (2 × 2 × 2) × (7 × 7 × 7)
Taking one factor from each group gives us the cube root: ∛2744 = 2 × 7 = 14
The cube root of 2744 is 14.
Common Mistakes and How to Avoid Them in the Cube Root of 2744
Finding the perfect cube of a number without any errors can be a difficult task for students. This happens for many reasons. Here are a few mistakes the students commonly make and the ways to avoid them:
Mistake 1
Trying to find approximate cube roots for perfect cube numbers.
Children might try to calculate an approximate value for the cube root of numbers like 2744, which are perfect cubes.
For example: They assume they might need an approximation like they do for non-perfect cubes. To avoid this error, recognize that 2744 is a perfect cube, and its cube root is exactly 14.
Cube Root of 2744 Examples:
Problem 1
Imagine you have a cube-shaped toy that has a total volume of 2744 cubic centimeters. Find the length of one side of the box equal to its cube root.
Side of the cube = ∛2744 = 14 units
Explanation
To find the side of the cube, we need to find the cube root of the given volume. Therefore, the side length of the cube is exactly 14 units.
Problem 2
A company manufactures 2744 cubic meters of material. Calculate the amount of material left after using 1000 cubic meters.
The amount of material left is 1744 cubic meters.
Explanation
To find the remaining material, we need to subtract the used material from the total amount:
2744 - 1000 = 1744 cubic meters.
Problem 3
A bottle holds 2744 cubic milliliters of volume. Another bottle holds a volume of 500 cubic milliliters. What would be the total volume if the bottles are combined?
The total volume of the combined bottles is 3244 cubic milliliters.
Explanation
Explanation: Let’s add the volume of both bottles:
2744 + 500 = 3244 cubic milliliters.
Problem 4
When the cube root of 2744 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
2 × 14 = 28 The cube of 28 = 21952
Explanation
When we multiply the cube root of 2744 by 2, it results in a significant increase in the volume because the cube increases exponentially.
Problem 5
Find ∛(1000 + 1744).
∛(1000 + 1744) = ∛2744 = 14
Explanation
As shown in the question ∛(1000 + 1744), we can simplify that by adding them.
So, 1000 + 1744 = 2744.
Then we use this step: ∛2744 = 14 to get the answer.
FAQs on 2744 Cube Root
1.Can we find the Cube Root of 2744?
2.Why is Cube Root of 2744 a rational number?
3.Is it possible to get the cube root of 2744 as an exact number?
4.Can we find the cube root of any number using prime factorization?
5.Is there any formula to find the cube root of a number?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Cube Root of 2744?
8.How do technology and digital tools in United States support learning Algebra and Cube Root of 2744?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Cube Root of 2744
- Cube root: The number that is multiplied three times by itself to get the given number is the cube root of that number.
- Perfect cube: A number is a perfect cube when it is the product of multiplying a number three times by itself. A perfect cube always results in a whole number. For example: 14 × 14 × 14 = 2744, therefore, 2744 is a perfect cube.
- Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In 2744(1/3), ⅓ is the exponent which denotes the cube root of 2744.
- Radical sign: The symbol that is used to represent a root which is expressed as (∛).
- Rational number: A number that can be expressed as a fraction of integers. The cube root of 2744 is rational because it is a whole number, 14.
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Jaskaran Singh Saluja
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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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