100 LearnersLast updated on June 7th, 2025
Cube of 799
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 799.
Cube of 799
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 799 can be written as 799³, which is the exponential form. Or it can also be written in arithmetic form as 799 × 799 × 799.
How to Calculate the Value of Cube of 799
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 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 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. 799³ = 799 × 799 × 799
Step 2: You get 510,592,799 as the answer. Hence, the cube of 799 is 510,592,799.
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 799 into two parts. Let a = 700 and b = 99, so a + b = 799
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 99
3ab² = 3 × 700 × 99²
b³ = 99³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 99)³ = 700³ + 3 × 700² × 99 + 3 × 700 × 99² + 99³
799³ = 343,000,000 + 146,790,000 + 5,873,700 + 970,299
799³ = 510,592,799
Step 5: Hence, the cube of 799 is 510,592,799.
Using a Calculator
To find the cube of 799 using a calculator, input the number 799 and use the cube function (if available) or multiply 799 × 799 × 799. This operation calculates the value of 799³, resulting in 510,592,799. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7, 9, followed by 9
Step 3: If the calculator has a cube function, press it to calculate 799³.
Step 4: If there is no cube function on the calculator, simply multiply 799 three times manually.
Step 5: The calculator will display 510,592,799.
Tips and Tricks for the Cube of 799
- 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 799
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, 799 × 799 and not 799 × 799 × 799. Always remember that 799³ = 799 × 799 × 799.
Solved Examples on Cube of 799
Problem 1
What is the cube and cube root of 799?
The cube of 799 is 510,592,799 and the cube root of 799 is approximately 9.282.
Explanation
First, let’s find the cube of 799.
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 799³ = 510,592,799
Next, we must find the cube root of 799.
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 ∛799 ≈ 9.282
Hence, the cube of 799 is 510,592,799 and the cube root of 799 is approximately 9.282.
Problem 2
If the side length of the cube is 799 cm, what is the volume?
The volume is 510,592,799 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 799 for the side length: V = 799³ = 510,592,799 cm³.
Problem 3
How much larger is 799³ than 699³?
799³ – 699³ = 343,000,000.
Explanation
First, find the cube of 799, which is 510,592,799.
Next, find the cube of 699, which is 342,999,999.
Now, find the difference between them using the subtraction method. 510,592,799 – 342,999,999 = 167,592,800
Therefore, 799³ is 167,592,800 larger than 699³.
Problem 4
If a cube with a side length of 799 cm is compared to a cube with a side length of 99 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 799 cm is 510,592,799 cm³, which is 509,622,500 cm³ larger than the cube with a side length of 99 cm.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 799 means multiplying 799 by itself three times: 799 × 799 = 638,401, and then 638,401 × 799 = 510,592,799.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
The volume of the smaller cube (side length 99 cm) is 970,299 cm³.
Therefore, the volume of the cube with a side length of 799 cm is 509,622,500 cm³ larger than the cube with a side length of 99 cm.
Problem 5
Estimate the cube of 798 using the cube of 799.
The cube of 798 is approximately 510,592,799.
Explanation
First, identify the cube of 799.
The cube of 799 is 799³ = 510,592,799. Since 798 is only a tiny bit less than 799, the cube of 798 will be almost the same as the cube of 799.
The cube of 798 is approximately 510,592,799 because the difference between 798 and 799 is very small.
So, we can approximate the value as 510,592,799.
FAQs on Cube of 799
1.What are the perfect cubes up to 799?
2.How do you calculate 799³?
3.What is the meaning of 799³?
4.What is the cube root of 799?
5.Is 799 a perfect cube?
6.How does learning Algebra help students in Saudi Arabia make better decisions in daily life?
7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Cube of 799?
8.How do technology and digital tools in Saudi Arabia support learning Algebra and Cube of 799?
9.Does learning Algebra support future career opportunities for students in Saudi Arabia?
Important Glossaries for Cube of 799
- Binomial Formula: 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: 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 number that can be expressed as the cube of an integer.
- Cube Root: The value that, when multiplied by itself three times, gives the original number.
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Jaskaran Singh Saluja
About the Author
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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