101 LearnersLast updated on June 6th, 2025
Cube of 808
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 808.
Cube of 808
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 808 can be written as 808³, which is the exponential form. Or it can also be written in arithmetic form as, 808 × 808 × 808.
How to Calculate the Value of Cube of 808
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
By Multiplication Method
The multiplication method is a process in mathematics used to find the product of numbers 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. 808³ = 808 × 808 × 808
Step 2: You get 527,985,152 as the answer. Hence, the cube of 808 is 527,985,152.
Using a Formula (a³)
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 808 into two parts. Let a = 800 and b = 8, so a + b = 808
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 8 3ab² = 3 × 800 × 8² b³ = 8³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(800 + 8)³ = 800³ + 3 × 800² × 8 + 3 × 800 × 8² + 8³
808³ = 512000000 + 15360000 + 153600 + 512
808³ = 527,985,152
Step 5: Hence, the cube of 808 is 527,985,152.
Using a Calculator
To find the cube of 808 using a calculator, input the number 808 and use the cube function (if available) or multiply 808 × 808 × 808. This operation calculates the value of 808³, resulting in 527,985,152. 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 8
Step 3: If the calculator has a cube function, press it to calculate 808³.
Step 4: If there is no cube function on the calculator, simply multiply 808 three times manually.
Step 5: The calculator will display 527,985,152.
Tips and Tricks for the Cube of 808
- 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.
Common Mistakes to Avoid When Calculating the Cube of 808
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:
Mistake 1
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 808 × 808 and not 808 × 808 × 808. Always remember that 808³ = 808 × 808 × 808.
Solved Examples on Cube of 808
Problem 1
What is the cube and cube root of 808?
The cube of 808 is 527,985,152 and the cube root of 808 is approximately 9.283.
Explanation
First, let’s find the cube of 808.
We know that the 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 808³ = 527,985,152
Next, we must find the cube root of 808 We know that the cube root of a number ‘x’, 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√808 ≈ 9.283
Hence the cube of 808 is 527,985,152 and the cube root of 808 is approximately 9.283.
Problem 2
If the side length of the cube is 808 cm, what is the volume?
The volume is 527,985,152 cm³.
Explanation
Use the volume formula for a cube V = Side³. Substitute 808 for the side length: V = 808³ = 527,985,152 cm³.
Problem 3
How much larger is 808³ than 407³?
808³ – 407³ = 527,985,152 – 67,143,143 = 460,842,009.
Explanation
First, find the cube of 808³, that is 527,985,152
Next, find the cube of 407³, which is 67,143,143
Now, find the difference between them using the subtraction method. 527,985,152 – 67,143,143 = 460,842,009
Therefore, 808³ is 460,842,009 larger than 407³.
Problem 4
If a cube with a side length of 808 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 808 cm is 527,985,152 cm³
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 808 means multiplying 808 by itself three times: 808 × 808 = 652,864, and then 652,864 × 808 = 527,985,152.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 527,985,152 cm³.
Problem 5
Estimate the cube 807.9 using the cube 808.
The cube of 807.9 is approximately 527,985,152.
Explanation
First, identify the cube of 808, The cube of 808 is 808³ = 527,985,152.
Since 807.9 is only a tiny bit less than 808, the cube of 807.9 will be almost the same as the cube of 808.
The cube of 807.9 is approximately 527,985,152 because the difference between 807.9 and 808 is very small.
So, we can approximate the value as 527,985,152.
FAQs on Cube of 808
1.What are the perfect cubes up to 808?
2.How do you calculate 808³?
3.What is the meaning of 808³?
4.What is the cube root of 808?
5.Is 808 a perfect cube?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Cube of 808?
8.How do technology and digital tools in Thailand support learning Algebra and Cube of 808?
9.Does learning Algebra support future career opportunities for students in Thailand?
Important Glossaries for Cube of 808
- Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
- Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
- Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.
- Perfect Cube: A perfect cube is an integer that is the cube of an integer.
- Volume of a Cube: The volume of a cube is calculated by cubing its side length, expressed as V = side³.
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Jaskaran Singh Saluja
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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.
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