100 LearnersLast updated on June 5th, 2025
Cube of 727
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 727.
Cube of 727
A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative. This is because a negative number by itself three times results in a negative number.
The cube of 727 can be written as 727³, which is the exponential form. Or it can also be written in arithmetic form as, 727 × 727 × 727.
How to Calculate the Value of Cube of 727
In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By Multiplication Method
The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number. 727³ = 727 × 727 × 727
Step 2: You get 384,433,103 as the answer. Hence, the cube of 727 is 384,433,103.
Using a Formula (a³)
The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.
Step 1: Split the number 727 into two parts. Let a = 700 and b = 27, so a + b = 727
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 27 3ab² = 3 × 700 × 27² b³ = 27³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 27)³ = 700³ + 3 × 700² × 27 + 3 × 700 × 27² + 27³
727³ = 343,000,000 + 39,690,000 + 383,400 + 19,683
727³ = 384,433,103
Step 5: Hence, the cube of 727 is 384,433,103.
Using a Calculator
To find the cube of 727 using a calculator, input the number 727 and use the cube function (if available) or multiply 727 × 727 × 727. This operation calculates the value of 727³, resulting in 384,433,103. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7 followed by 2 and 7
Step 3: If the calculator has a cube function, press it to calculate 727³.
Step 4: If there is no cube function on the calculator, simply multiply 727 three times manually.
Step 5: The calculator will display 384,433,103.
Tips and Tricks for the Cube of 727
- The cube of any even number is always even, while the cube of any odd number is always odd.
- The product of two or more perfect cube numbers is always a perfect cube.
- A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
Common Mistakes to Avoid When Calculating the Cube of 727
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
Mistake 1
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 727 × 727 and not 727 × 727 × 727. Always remember that 727³ = 727 × 727 × 727.
Solved Examples on Cube of 727
Problem 1
What is the cube and cube root of 727?
The cube of 727 is 384,433,103 and the cube root of 727 is approximately 8.984.
Explanation
First, let’s find the cube of 727.
We know that cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number
So, we get 727³ = 384,433,103
Next, we must find the cube root of 727 We know that cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√727 ≈ 8.984
Hence the cube of 727 is 384,433,103 and the cube root of 727 is approximately 8.984.
Problem 2
If the side length of the cube is 727 cm, what is the volume?
The volume is 384,433,103 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 727 for the side length: V = 727³ = 384,433,103 cm³.
Problem 3
How much larger is 727³ than 700³?
727³ – 700³ = 41,433,103.
Explanation
First find the cube of 727, that is 384,433,103
Next, find the cube of 700, which is 343,000,000
Now, find the difference between them using the subtraction method. 384,433,103 – 343,000,000 = 41,433,103
Therefore, the 727³ is 41,433,103 larger than 700³.
Problem 4
If a cube with a side length of 727 cm is compared to a cube with a side length of 27 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 727 cm is 384,433,103 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 727 means multiplying 727 by itself three times: 727 × 727 = 528,529, and then 528,529 × 727 = 384,433,103.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 384,433,103 cm³.
Problem 5
Estimate the cube 726.9 using the cube 727.
The cube of 726.9 is approximately 384,433,103.
Explanation
First, identify the cube of 727.
The cube of 727 is 727³ = 384,433,103.
Since 726.9 is only a tiny bit less than 727, the cube of 726.9 will be almost the same as the cube of 727.
The cube of 726.9 is approximately 384,433,103 because the difference between 726.9 and 727 is very small.
So, we can approximate the value as 384,433,103.
FAQs on Cube of 727
1.What are the perfect cubes up to 727?
2.How do you calculate 727³?
3.What is the meaning of 727³?
4.What is the cube root of 727?
5.Is 727 a perfect cube?
6.How does learning Algebra help students in Saudi Arabia make better decisions in daily life?
7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Cube of 727?
8.How do technology and digital tools in Saudi Arabia support learning Algebra and Cube of 727?
9.Does learning Algebra support future career opportunities for students in Saudi Arabia?
Important Glossaries for Cube of 727
- Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
- Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
- Exponential Form: A way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals to 8.
- Perfect Cube: A number that can be expressed as the cube of an integer. For example, 27 is a perfect cube because it equals 3³.
- Cube Root: The value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.
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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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
