Last updated on July 2nd, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 1377.
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 multiplied by itself three times results in a negative number.
The cube of 1377 can be written as 1377³, which is the exponential form.
Or it can also be written in arithmetic form as 1377 × 1377 × 1377.
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 you 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. 1377³ = 1377 × 1377 × 1377
Step 2: You get 2,612,978,233 as the answer. Hence, the cube of 1377 is 2,612,978,233.
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 1377 into two parts, as 1300 and 77. Let a = 1300 and b = 77, so a + b = 1377
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term: a³ = 1300³ 3a²b = 3 × 1300² × 77 3ab² = 3 × 1300 × 77² b³ = 77³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 77)³ = 1300³ + 3 × 1300² × 77 + 3 × 1300 × 77² + 77³ 1377³ = 2,197,000,000 + 389,940,000 + 230,697,000 + 95,233 1377³ = 2,612,978,233
Step 5: Hence, the cube of 1377 is 2,612,978,233.
To find the cube of 1377 using a calculator, input the number 1377 and use the cube function (if available) or multiply 1377 × 1377 × 1377.
This operation calculates the value of 1377³, resulting in 2,612,978,233.
It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 1377
Step 3: If the calculator has a cube function, press it to calculate 1377³.
Step 4: If there is no cube function on the calculator, simply multiply 1377 three times manually.
Step 5: The calculator will display 2,612,978,233.
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 you might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 1377?
The cube of 1377 is 2,612,978,233 and the cube root of 1377 is approximately 11.080.
First, let’s find the cube of 1377. 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 1377³ = 2,612,978,233. Next, we must find the cube root of 1377.
We know that the cube root of a number x is ∛x = y, Where x is the given number, and y is the cube root value of the number. So, we get ∛1377 ≈ 11.080.
Hence the cube of 1377 is 2,612,978,233 and the cube root of 1377 is approximately 11.080.
If the side length of the cube is 1377 cm, what is the volume?
The volume is 2,612,978,233 cm³.
Use the volume formula for a cube V = Side³. Substitute 1377 for the side length: V = 1377³ = 2,612,978,233 cm³.
How much larger is 1377³ than 1300³?
1377³ – 1300³ = 415,978,233.
First, find the cube of 1377, which is 2,612,978,233.
Next, find the cube of 1300, which is 2,197,000,000. Now, find the difference between them using the subtraction method. 2,612,978,233 – 2,197,000,000 = 415,978,233.
Therefore, 1377³ is 415,978,233 larger than 1300³.
If a cube with a side length of 1377 cm is compared to a cube with a side length of 300 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1377 cm is 2,612,978,233 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1377 means multiplying 1377 by itself three times: 1377 × 1377 = 1,896,129, and then 1,896,129 × 1377 = 2,612,978,233.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,612,978,233 cm³.
Estimate the cube of 1376.9 using the cube of 1377.
The cube of 1376.9 is approximately 2,612,978,233.
First, identify the cube of 1377, which is 1377³ = 2,612,978,233.
Since 1376.9 is only a tiny bit less than 1377, the cube of 1376.9 will be almost the same as the cube of 1377.
The cube of 1376.9 is approximately 2,612,978,233 because the difference between 1376.9 and 1377 is very small.
So, we can approximate the value as 2,612,978,233.
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.