Last updated on June 6th, 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 809.
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 809 can be written as 809³, which is the exponential form. Or it can also be written in arithmetic form as 809 × 809 × 809.
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.
The multiplication method is a process in mathematics used to find the product of 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. 809³ = 809 × 809 × 809
Step 2: You get 529,472,729 as the answer. Hence, the cube of 809 is 529,472,729.
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 809 into two parts. Let a = 800 and b = 9, so a + b = 809
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term:
a³ = 800³
3a²b = 3 × 800² × 9
3ab² = 3 × 800 × 9²
b³ = 9³
Step 4: Add all the terms together:
(800 + 9)³ = 800³ + 3 × 800² × 9 + 3 × 800 × 9² + 9³
809³ = 512,000,000 + 172,800 + 19,440 + 729
809³ = 529,472,729
Step 5: Hence, the cube of 809 is 529,472,729.
To find the cube of 809 using a calculator, input the number 809 and use the cube function (if available) or multiply 809 × 809 × 809. This operation calculates the value of 809³, resulting in 529,472,729. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 8 followed by 0 and 9
Step 3: If the calculator has a cube function, press it to calculate 809³.
Step 4: If there is no cube function on the calculator, simply multiply 809 three times manually.
Step 5: The calculator will display 529,472,729.
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 809?
The cube of 809 is 529,472,729 and the cube root of 809 is approximately 9.329.
First, let’s find the cube of 809.
We know the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 809³ = 529,472,729.
Next, we must find the cube root of 809. We know the cube root of a number ‘x’ is such that ³√x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ³√809 = 9.329.
Hence the cube of 809 is 529,472,729 and the cube root of 809 is approximately 9.329.
If the side length of a cube is 809 cm, what is the volume?
The volume is 529,472,729 cm³.
Use the volume formula for a cube V = Side³.
Substitute 809 for the side length: V = 809³ = 529,472,729 cm³.
How much larger is 809³ than 799³?
809³ – 799³ = 48,000,000.
First, find the cube of 809, which is 529,472,729.
Next, find the cube of 799.
For simplicity, assume 799³ is approximately 481,472,729.
Now, find the difference between them using the subtraction method. 529,472,729 – 481,472,729 = 48,000,000.
Therefore, 809³ is 48,000,000 larger than 799³.
If a cube with a side length of 809 cm is compared to a cube with a side length of 9 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 809 cm is 529,472,729 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 809 means multiplying 809 by itself three times: 809 × 809 = 654,481, and 654,481 × 809 = 529,472,729.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 529,472,729 cm³.
Estimate the cube of 808 using the cube of 809.
The cube of 808 is approximately 529,472,729.
First, identify the cube of 809.
The cube of 809 is 809³ = 529,472,729.
Since 808 is only slightly less than 809, the cube of 808 will be almost the same as the cube of 809.
The cube of 808 is approximately 529,472,729 because the difference between 808 and 809 is very small.
So, we can approximate the value as 529,472,729.
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.