Last updated on June 1st, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 564.
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 564 can be written as 564³, which is the exponential form.
Or it can also be written in arithmetic form as, 564 × 564 × 564.
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 you 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. 564³ = 564 × 564 × 564
Step 2: You get 179,992,704 as the answer. Hence, the cube of 564 is 179,992,704.
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 564 into two parts. Let a = 500 and b = 64, so a + b = 564
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ 3a²b = 3 × 500² × 64 3ab² = 3 × 500 × 64² b³ = 64³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (500 + 64)³ = 500³ + 3 × 500² × 64 + 3 × 500 × 64² + 64³ 564³ = 125,000,000 + 48,000,000 + 6,144,000 + 262,144 564³ = 179,992,704
Step 5: Hence, the cube of 564 is 179,992,704.
To find the cube of 564 using a calculator, input the number 564 and use the cube function (if available) or multiply 564 × 564 × 564. This operation calculates the value of 564³, resulting in 179,992,704. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 564 Step 3: If the calculator has a cube function, press it to calculate 564³.
Step 4: If there is no cube function on the calculator, simply multiply 564 three times manually.
Step 5: The calculator will display 179,992,704.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes:
What is the cube and cube root of 564?
The cube of 564 is 179,992,704 and the cube root of 564 is approximately 8.24.
First, let’s find the cube of 564.
We know that the cube of a number, x³ = y
Where x is the given number, and y is the cubed value of that number.
So, we get 564³ = 179,992,704 Next, we must find the cube root of 564.
We know that the cube root of a number 'x', such that ∛x = y
Where 'x' is the given number, and y is the cube root value of the number.
So, we get ∛564 ≈ 8.24 Hence, the cube of 564 is 179,992,704 and the cube root of 564 is approximately 8.24.
If the side length of the cube is 564 cm, what is the volume?
The volume is 179,992,704 cm³.
Use the volume formula for a cube V = Side³.
Substitute 564 for the side length: V = 564³ = 179,992,704 cm³.
How much larger is 564³ than 464³?
564³ – 464³ = 110,224,704.
First find the cube of 564, that is 179,992,704
Next, find the cube of 464, which is 69,768,000
Now, find the difference between them using the subtraction method. 179,992,704 – 69,768,000 = 110,224,704
Therefore, 564³ is 110,224,704 larger than 464³.
If a cube with a side length of 564 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 564 cm is 179,992,704 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 564 means multiplying 564 by itself three times: 564 × 564 = 318,096, and then 318,096 × 564 = 179,992,704.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 179,992,704 cm³.
Estimate the cube 563.9 using the cube 564.
The cube of 563.9 is approximately 179,992,704.
First, identify the cube of 564,
The cube of 564 is 564³ = 179,992,704.
Since 563.9 is only a tiny bit less than 564, the cube of 563.9 will be almost the same as the cube of 564.
The cube of 563.9 is approximately 179,992,704 because the difference between 563.9 and 564 is very small.
So, we can approximate the value as 179,992,704.
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.