Last updated on May 29th, 2025
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 579.
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 579 can be written as 579³, which is the exponential form. Or it can also be written in arithmetic form as 579 × 579 × 579.
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 students 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 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. 579³ = 579 × 579 × 579
Step 2: You get 194,618,139 as the answer. Hence, the cube of 579 is 194,618,139.
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 579 into two parts, as 500 and 79. Let a = 500 and b = 79, so a + b = 579
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 500³
3a²b = 3 × 500² × 79
3ab² = 3 × 500 × 79²
b³ = 79³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 79)³ = 500³ + 3 × 500² × 79 + 3 × 500 × 79² + 79³
579³ = 125,000,000 + 59,250,000 + 9,329,500 + 493,039
579³ = 194,618,139
Step 5: Hence, the cube of 579 is 194,618,139.
To find the cube of 579 using a calculator, input the number 579 and use the cube function (if available) or multiply 579 × 579 × 579. This operation calculates the value of 579³, resulting in 194,618,139. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 579
Step 3: If the calculator has a cube function, press it to calculate 579³.
Step 4: If there is no cube function on the calculator, simply multiply 579 three times manually.
Step 5: The calculator will display 194,618,139.
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 579?
The cube of 579 is 194,618,139 and the cube root of 579 is approximately 8.322.
First, let’s find the cube of 579.
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 579³ = 194,618,139
Next, we must find the cube root of 579 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√579 ≈ 8.322
Hence the cube of 579 is 194,618,139 and the cube root of 579 is approximately 8.322.
If the side length of the cube is 579 cm, what is the volume?
The volume is 194,618,139 cm³.
Use the volume formula for a cube V = Side³.
Substitute 579 for the side length: V = 579³ = 194,618,139 cm³.
How much larger is 579³ than 500³?
579³ – 500³ = 69,618,139.
First find the cube of 579³, that is 194,618,139 Next, find the cube of 500³, which is 125,000,000
Now, find the difference between them using the subtraction method.
194,618,139 – 125,000,000 = 69,618,139
Therefore, 579³ is 69,618,139 larger than 500³.
If a cube with a side length of 579 cm is compared to a cube with a side length of 79 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 579 cm is 194,618,139 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 579 means multiplying 579 by itself three times: 579 × 579 = 335,241, and then 335,241 × 579 = 194,618,139.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 194,618,139 cm³.
Estimate the cube of 578.9 using the cube of 579.
The cube of 578.9 is approximately 194,618,139.
First, identify the cube of 579, The cube of 579 is 579³ = 194,618,139.
Since 578.9 is only a tiny bit less than 579, the cube of 578.9 will be almost the same as the cube of 579.
The cube of 578.9 is approximately 194,618,139 because the difference between 578.9 and 579 is very small.
So, we can approximate the value as 194,618,139.
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.