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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 1380.
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 1380 can be written as 1380³, which is the exponential form.
Or it can also be written in arithmetic form as, 1380 × 1380 × 1380.
In order to check whether a number is a cube number or not, we can use the following three methods: 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. 1380³ = 1380 × 1380 × 1380
Step 2: You get 2,630,532,000 as the answer. Hence, the cube of 1380 is 2,630,532,000.
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 1380 into two parts, as 1300 and 80. Let a = 1300 and b = 80, so a + b = 1380.
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.
Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 80 3ab² = 3 × 1300 × 80² b³ = 80³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 80)³ = 1300³ + 3 × 1300² × 80 + 3 × 1300 × 80² + 80³ 1380³ = 2,197,000,000 + 405,600,000 + 249,600,000 + 512,000 1380³ = 2,630,532,000
Step 5: Hence, the cube of 1380 is 2,630,532,000.
To find the cube of 1380 using a calculator, input the number 1380 and use the cube function (if available) or multiply 1380 × 1380 × 1380.
This operation calculates the value of 1380³, resulting in 2,630,532,000. 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, 8, and 0.
Step 3: If the calculator has a cube function, press it to calculate 1380³.
Step 4: If there is no cube function on the calculator, simply multiply 1380 three times manually.
Step 5: The calculator will display 2,630,532,000.
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 1380?
The cube of 1380 is 2,630,532,000 and the cube root of 1380 is approximately 11.081.
First, let’s find the cube of 1380. 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 1380³ = 2,630,532,000 Next, we must find the cube root of 1380
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 ∛1380 ≈ 11.081 Hence the cube of 1380 is 2,630,532,000 and the cube root of 1380 is approximately 11.081.
If the side length of the cube is 1380 cm, what is the volume?
The volume is 2,630,532,000 cm³.
Use the volume formula for a cube V = Side³. Substitute 1380 for the side length: V = 1380³ = 2,630,532,000 cm³.
How much larger is 1380³ than 1000³?
1380³ – 1000³ = 2,630,532,000 – 1,000,000,000 = 1,630,532,000.
First, find the cube of 1380, which is 2,630,532,000.
Next, find the cube of 1000, which is 1,000,000,000.
Now, find the difference between them using the subtraction method. 2,630,532,000 – 1,000,000,000 = 1,630,532,000
Therefore, 1380³ is 1,630,532,000 larger than 1000³.
If a cube with a side length of 1380 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1380 cm is 2,630,532,000 cm³, which is larger by 2,490,532,000 cm³ compared to the volume of the cube with a side length of 500 cm.
To find the volume of each cube, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1380 means multiplying 1380 by itself three times: 1380 × 1380 × 1380 = 2,630,532,000.
Cubing 500 means multiplying 500 by itself three times: 500 × 500 × 500 = 125,000,000.
The difference in volumes is 2,630,532,000 - 125,000,000 = 2,505,532,000.
Therefore, the volume of the cube with side length 1380 cm is 2,505,532,000 cm³ larger.
Estimate the cube 1379 using the cube of 1380.
The cube of 1379 is approximately 2,628,000,000.
First, identify the cube of 1380, The cube of 1380 is 1380³ = 2,630,532,000.
Since 1379 is only a tiny bit less than 1380, the cube of 1379 will be almost the same as the cube of 1380.
The cube of 1379 is approximately 2,628,000,000 because the difference between 1379 and 1380 is very small.
So, we can approximate the value as 2,628,000,000.
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.