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 1372.
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 1372 can be written as 1372³, which is the exponential form.
Or it can also be written in arithmetic form as, 1372 × 1372 × 1372.
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. 1372³ = 1372 × 1372 × 1372
Step 2: You get 2,581,558,528 as the answer. Hence, the cube of 1372 is 2,581,558,528.
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 1372 into two parts, as 1300 and 72. Let a = 1300 and b = 72, so a + b = 1372
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 72 3ab² = 3 × 1300 × 72² b³ = 72³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 72)³ = 1300³ + 3 × 1300² × 72 + 3 × 1300 × 72² + 72³ 1372³ = 2,197,000,000 + 364,320,000 + 243,648,000 + 373,248 1372³ = 2,581,558,528
Step 5: Hence, the cube of 1372 is 2,581,558,528.
To find the cube of 1372 using a calculator, input the number 1372 and use the cube function (if available) or multiply 1372 × 1372 × 1372.
This operation calculates the value of 1372³, resulting in 2,581,558,528. 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 3, 7, and 2
Step 3: If the calculator has a cube function, press it to calculate 1372³.
Step 4: If there is no cube function on the calculator, simply multiply 1372 three times manually.
Step 5: The calculator will display 2,581,558,528.
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 1372?
The cube of 1372 is 2,581,558,528 and the cube root of 1372 is approximately 11.073.
First, let’s find the cube of 1372. 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 1372³ = 2,581,558,528
Next, we must find the cube root of 1372 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 ∛1372 ≈ 11.073
Hence the cube of 1372 is 2,581,558,528 and the cube root of 1372 is approximately 11.073.
If the side length of the cube is 1372 cm, what is the volume?
The volume is 2,581,558,528 cm³.
Use the volume formula for a cube V = Side³. Substitute 1372 for the side length: V = 1372³ = 2,581,558,528 cm³.
How much larger is 1372³ than 1300³?
1372³ – 1300³ = 384,558,528.
First find the cube of 1372³, that is 2,581,558,528
Next, find the cube of 1300³, which is 2,197,000,000
Now, find the difference between them using the subtraction method. 2,581,558,528 – 2,197,000,000 = 384,558,528
Therefore, the 1372³ is 384,558,528 larger than 1300³.
If a cube with a side length of 1372 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1372 cm is 2,581,558,528 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1372 means multiplying 1372 by itself three times: 1372 × 1372 = 1,881,984, and then 1,881,984 × 1372 = 2,581,558,528.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,581,558,528 cm³.
Estimate the cube 1371.9 using the cube 1372.
The cube of 1371.9 is approximately 2,581,558,528.
First, identify the cube of 1372, The cube of 1372 is 1372³ = 2,581,558,528. Since 1371.9 is only a tiny bit less than 1372, the cube of 1371.9 will be almost the same as the cube of 1372.
The cube of 1371.9 is approximately 2,581,558,528 because the difference between 1371.9 and 1372 is very small.
So, we can approximate the value as 2,581,558,528.
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.