Last updated on June 5th, 2025
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.
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.
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.
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.
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.
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.
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:
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.
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.
If the side length of the cube is 727 cm, what is the volume?
The volume is 384,433,103 cm³.
Use the volume formula for a cube V = Side³.
Substitute 727 for the side length: V = 727³ = 384,433,103 cm³.
How much larger is 727³ than 700³?
727³ – 700³ = 41,433,103.
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.
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.
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.
Estimate the cube 726.9 using the cube 727.
The cube of 726.9 is approximately 384,433,103.
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.
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.