117 LearnersLast updated on May 29th, 2025
Cube of 79
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 79.
Cube of 79
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 79 can be written as 79³, which is the exponential form.
Or it can also be written in arithmetic form as, 79 × 79 × 79.
How to Calculate the Value of Cube of 79
To determine whether a number is a cube number or not, we can use the following three methods: the 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 (a3)
- Using a Calculator
By Multiplication Method
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. 79³ = 79 × 79 × 79
Step 2: You get 493,039 as the answer.
Hence, the cube of 79 is 493,039.
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 79 into two parts, as 70 and 9. Let a = 70 and b = 9, so a + b = 79
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³= 70³ 3a²b = 3 × 70² × 9 3ab² = 3 × 70 × 9² b³ = 9³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (70 + 9)³ = 70³ + 3 × 70² × 9 + 3 × 70 × 9² + 9³ 79³ = 343,000 + 132,300 + 17,010 + 729 79³ = 493,039
Step 5: Hence, the cube of 79 is 493,039.
Using a Calculator
To find the cube of 79 using a calculator, input the number 79 and use the cube function (if available) or multiply 79 × 79 × 79. This operation calculates the value of 79³, resulting in 493,039. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7 followed by 9
Step 3: If the calculator has a cube function, press it to calculate 79³.
Step 4: If there is no cube function on the calculator, simply multiply 79 three times manually.
Step 5: The calculator will display 493,039.
Tips and Tricks for the Cube of 79
- 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 79
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, 79 × 79 and not 79 × 79 × 79. Always remember that 79³ = 79 × 79 × 79.
Solved Examples on Cube of 79
Problem 1
What is the cube and cube root of 79?
The cube of 79 is 493,039, and the cube root of 79 is approximately 4.308.
Explanation
First, let’s find the cube of 79.
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 79³ = 493,039. Next, we must find the cube root of 79.
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√79 ≈ 4.308.
Hence, the cube of 79 is 493,039, and the cube root of 79 is approximately 4.308.
Problem 2
If the side length of the cube is 79 cm, what is the volume?
The volume is 493,039 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 79 for the side length: V = 79³ = 493,039 cm³.
Problem 3
How much larger is 79³ than 69³?
79³ – 69³ = 307,049.
Explanation
First, find the cube of 79³, that is 493,039.
Next, find the cube of 69³, which is 185,990.
Now, find the difference between them using the subtraction method. 493,039 – 185,990 = 307,049.
Therefore, 79³ is 307,049 larger than 69³.
Problem 4
If a cube with a side length of 79 cm is compared to a cube with a side length of 39 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 79 cm is 493,039 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 79 means multiplying 79 by itself three times: 79 × 79 = 6,241, and then 6,241 × 79 = 493,039.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 493,039 cm³.
Problem 5
Estimate the cube of 78.9 using the cube of 79.
The cube of 78.9 is approximately 493,039.
Explanation
First, identify the cube of 79.
The cube of 79 is 79³ = 493,039.
Since 78.9 is only a tiny bit less than 79, the cube of 78.9 will be almost the same as the cube of 79.
The cube of 78.9 is approximately 493,039 because the difference between 78.9 and 79 is very small.
So, we can approximate the value as 493,039.
FAQs on Cube of 79
1.What are the perfect cubes up to 79?
2.How do you calculate 79³?
3.What is the meaning of 79³?
4.What is the cube root of 79?
5.Is 79 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 79?
8.How do technology and digital tools in Saudi Arabia support learning Algebra and Cube of 79?
9.Does learning Algebra support future career opportunities for students in Saudi Arabia?
Important Glossaries for Cube of 79
- 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, which equals 8.
- Volume of a Cube: The amount of space inside a cube, calculated as the cube of its side length.
- Cube Root: The number that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.
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About BrightChamps in Saudi Arabia
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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
