Last updated on June 3rd, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 127.
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 multiplying a negative number by itself three times results in a negative number.
The cube of 127 can be written as 127³, which is the exponential form.
Or it can also be written in arithmetic form as, 127 × 127 × 127.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help students 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. 127³ = 127 × 127 × 127
Step 2: You get 2,048,383 as the answer. Hence, the cube of 127 is 2,048,383.
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 127 into two parts. Let a = 120 and b = 7, so a + b = 127
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 120³ 3a²b = 3 × 120² × 7 3ab² = 3 × 120 × 7² b³ = 7³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (120 + 7)³ = 120³ + 3 × 120² × 7 + 3 × 120 × 7² + 7³ 127³ = 1,728,000 + 302,400 + 17,640 + 343 127³ = 2,048,383
Step 5: Hence, the cube of 127 is 2,048,383.
To find the cube of 127 using a calculator, input the number 127 and use the cube function (if available) or multiply 127 × 127 × 127. This operation calculates the value of 127³, resulting in 2,048,383. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 2 and 7
Step 3: If the calculator has a cube function, press it to calculate 127³.
Step 4: If there is no cube function on the calculator, simply multiply 127 three times manually.
Step 5: The calculator will display 2,048,383.
There are some typical errors that students might make during the process of cubing a number. Let us take a look at five of the major mistakes that students might make:
What is the cube and cube root of 127?
The cube of 127 is 2,048,383 and the cube root of 127 is approximately 5.0265.
First, let’s find the cube of 127.
We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 127³ = 2,048,383.
Next, we must find the cube root of 127.
We know that the cube root of a number x, such that ∛x = y, where x is the given number, and y is the cube root value of the number.
So, we get ∛127 = approximately 5.0265.
Hence the cube of 127 is 2,048,383 and the cube root of 127 is approximately 5.0265.
If the side length of a cube is 127 cm, what is the volume?
The volume is 2,048,383 cm³.
Use the volume formula for a cube, V = Side³.
Substitute 127 for the side length: V = 127³ = 2,048,383 cm³.
How much larger is 127³ than 100³?
127³ – 100³ = 1,348,383.
First, find the cube of 127, which is 2,048,383.
Next, find the cube of 100, which is 1,000,000.
Now, find the difference between them using the subtraction method. 2,048,383 – 1,000,000 = 1,048,383.
Therefore, 127³ is 1,048,383 larger than 100³.
If a cube with a side length of 127 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 127 cm is 2,048,383 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 127 means multiplying 127 by itself three times: 127 × 127 = 16,129, and then 16,129 × 127 = 2,048,383.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,048,383 cm³.
Estimate the cube of 126.9 using the cube of 127.
The cube of 126.9 is approximately 2,048,383.
First, identify the cube of 127.
The cube of 127 is 127³ = 2,048,383.
Since 126.9 is only a tiny bit less than 127, the cube of 126.9 will be almost the same as the cube of 127.
The cube of 126.9 is approximately 2,048,383 because the difference between 126.9 and 127 is very small.
So, we can approximate the value as 2,048,383.
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.