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 in various areas, such as volume calculations for cubic measurements. In this topic, we shall learn about the cube of 1389.
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 1389 can be written as 1389³, which is the exponential form.
Or it can also be written in arithmetic form as 1389 × 1389 × 1389.
In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, factor formula (a³), or by using a calculator.
These three methods will help individuals to cube 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. 1389³ = 1389 × 1389 × 1389
Step 2: You get 2,681,612,869 as the answer. Hence, the cube of 1389 is 2,681,612,869.
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 1389 into two parts, as 1300 and 89. Let a = 1300 and b = 89, so a + b = 1389
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 89 3ab² = 3 × 1300 × 89² b³ = 89³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 89)³ = 1300³ + 3 × 1300² × 89 + 3 × 1300 × 89² + 89³ 1389³ = 2,197,000,000 + 450,930,000 + 30,963,000 + 704,969 1389³ = 2,681,612,869
Step 5: Hence, the cube of 1389 is 2,681,612,869.
To find the cube of 1389 using a calculator, input the number 1389 and use the cube function (if available) or multiply 1389 × 1389 × 1389.
This operation calculates the value of 1389³, resulting in 2,681,612,869. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1, 3, 8, and 9
Step 3: If the calculator has a cube function, press it to calculate 1389³.
Step 4: If there is no cube function on the calculator, simply multiply 1389 three times manually.
Step 5: The calculator will display 2,681,612,869.
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 individuals might make during the process of cubing a number.
Let us take a look at five of the major mistakes that may occur:
What is the cube and cube root of 1389?
The cube of 1389 is 2,681,612,869, and the cube root of 1389 is approximately 11.080.
First, let’s find the cube of 1389. We know that the cube of a number is obtained by multiplying the number by itself three times, such that x³ = y.
So, we get 1389³ = 2,681,612,869.
Next, we must find the cube root of 1389.
We know that the cube root of a number ‘x’ is such that ∛x = y. So, we get ∛1389 ≈ 11.080.
Hence, the cube of 1389 is 2,681,612,869, and the cube root of 1389 is approximately 11.080.
If the side length of a cube is 1389 cm, what is the volume?
The volume is 2,681,612,869 cm³.
Use the volume formula for a cube V = side³. Substitute 1389 for the side length: V = 1389³ = 2,681,612,869 cm³.
How much larger is 1389³ than 1300³?
1389³ – 1300³ = 484,612,869.
First, find the cube of 1389, which is 2,681,612,869. Next, find the cube of 1300, which is 2,197,000,000.
Now, find the difference between them using the subtraction method. 2,681,612,869 – 2,197,000,000 = 484,612,869.
Therefore, 1389³ is 484,612,869 larger than 1300³.
If a cube with a side length of 1389 cm is compared to a cube with a side length of 89 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1389 cm is 2,681,612,869 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1389 means multiplying 1389 by itself three times: 1389 × 1389 = 1,929,921, and then 1,929,921 × 1389 = 2,681,612,869.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,681,612,869 cm³.
Estimate the cube of 1388 using the cube of 1389.
The cube of 1388 is approximately 2,678,388,872.
First, identify the cube of 1389.
The cube of 1389 is 1389³ = 2,681,612,869. Since 1388 is only slightly less than 1389, the cube of 1388 will be nearly the same as the cube of 1389.
By calculating, 1388³ ≈ 2,678,388,872, which is close to 1389³. So, we can approximate the value as 2,678,388,872.
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.