Last updated on July 1st, 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 the cube of 1371.
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 1371 can be written as 1371³, which is the exponential form. Or it can also be written in arithmetic form as, 1371 × 1371 × 1371.
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
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. 1371³ = 1371 × 1371 × 1371
Step 2: You get 2,576,646,511 as the answer.
Hence, the cube of 1371 is 2,576,646,511.
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 1371 into two parts, as 1300 and 71. Let a = 1300 and b = 71, so a + b = 1371
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 71 3ab² = 3 × 1300 × 71² b³ = 71³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 71)³ = 1300³ + 3 × 1300² × 71 + 3 × 1300 × 71² + 71³ 1371³ = 2,197,000,000 + 359,130,000 + 178,653,000 + 357,511 1371³ = 2,576,646,511
Step 5: Hence, the cube of 1371 is 2,576,646,511.
To find the cube of 1371 using a calculator, input the number 1371 and use the cube function (if available) or multiply 1371 × 1371 × 1371.
This operation calculates the value of 1371³, resulting in 2,576,646,511. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 1371
Step 3: If the calculator has a cube function, press it to calculate 1371³.
Step 4: If there is no cube function on the calculator, simply multiply 1371 three times manually.
Step 5: The calculator will display 2,576,646,511.
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.
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 1371?
The cube of 1371 is 2,576,646,511 and the cube root of 1371 is approximately 11.086.
First, let’s find the cube of 1371. 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 1371³ = 2,576,646,511
Next, we must find the cube root of 1371 We know that 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 ∛1371 ≈ 11.086
Hence the cube of 1371 is 2,576,646,511 and the cube root of 1371 is approximately 11.086.
If the side length of the cube is 1371 cm, what is the volume?
The volume is 2,576,646,511 cm³.
Use the volume formula for a cube V = Side³. Substitute 1371 for the side length: V = 1371³ = 2,576,646,511 cm³.
How much larger is 1371³ than 1300³?
1371³ – 1300³ = 379,646,511.
First, find the cube of 1371, which is 2,576,646,511
Next, find the cube of 1300, which is 2,197,000,000
Now, find the difference between them using the subtraction method. 2,576,646,511 – 2,197,000,000 = 379,646,511
Therefore, 1371³ is 379,646,511 larger than 1300³.
If a cube with a side length of 1371 cm is compared to a cube with a side length of 71 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1371 cm is 2,576,646,511 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1371 means multiplying 1371 by itself three times: 1371 × 1371 = 1,878,441, and then 1,878,441 × 1371 = 2,576,646,511.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,576,646,511 cm³.
Estimate the cube of 1370 using the cube of 1371.
The cube of 1370 is approximately 2,576,646,511.
First, identify the cube of 1371, The cube of 1371 is 1371³ = 2,576,646,511.
Since 1370 is only a tiny bit less than 1371, the cube of 1370 will be almost the same as the cube of 1371.
The cube of 1370 is approximately 2,576,646,511 because the difference between 1370 and 1371 is very small.
So, we can approximate the value as 2,576,646,511.
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.