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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 563.
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 563 can be written as 563³, which is the exponential form.
Or it can also be written in arithmetic form as 563 × 563 × 563.
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 kids 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. 563³ = 563 × 563 × 563
Step 2: You get 178,827,347 as the answer. Hence, the cube of 563 is 178,827,347.
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 563 into two parts, as 500 and 63. Let a = 500 and b = 63, so a + b = 563
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ 3a²b = 3 × 500² × 63 3ab² = 3 × 500 × 63² b³ = 63³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (500 + 63)³ = 500³ + 3 × 500² × 63 + 3 × 500 × 63² + 63³ 563³ = 125,000,000 + 47,250,000 + 5,985,000 + 250,047 563³ = 178,827,347
Step 5: Hence, the cube of 563 is 178,827,347.
To find the cube of 563 using a calculator, input the number 563 and use the cube function (if available) or multiply 563 × 563 × 563. This operation calculates the value of 563³, resulting in 178,827,347. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 5, followed by 6, then 3.
Step 3: If the calculator has a cube function, press it to calculate 563³.
Step 4: If there is no cube function on the calculator, simply multiply 563 three times manually.
Step 5: The calculator will display 178,827,347.
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 563?
The cube of 563 is 178,827,347 and the cube root of 563 is approximately 8.234.
First, let’s find the cube of 563.
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 563³ = 178,827,347 Next, we must find the cube root of 563
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 ∛563 ≈ 8.234
Hence the cube of 563 is 178,827,347 and the cube root of 563 is approximately 8.234.
If the side length of the cube is 563 cm, what is the volume?
The volume is 178,827,347 cm³.
Use the volume formula for a cube V = Side³.
Substitute 563 for the side length: V = 563³ = 178,827,347 cm³.
How much larger is 563³ than 403³?
563³ – 403³ = 178,827,347 – 64,000 = 178,763,347.
First, find the cube of 563, which is 178,827,347.
Next, find the cube of 403, which is 64,000.
Now, find the difference between them using the subtraction method. 178,827,347 – 64,000 = 178,763,347
Therefore, 563³ is 178,763,347 larger than 403³.
If a cube with a side length of 563 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 563 cm is 178,827,347 cm³, which is 178,826,347 cm³ larger than the volume of the cube with a side length of 10 cm.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 563 means multiplying 563 by itself three times: 563 × 563 = 316,969, and then 316,969 × 563 = 178,827,347.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 178,827,347 cm³. The volume of the cube with side 10 cm = 10³ = 1,000 cm³.
The larger cube is 178,827,347 - 1,000 = 178,826,347 cm³ larger.
Estimate the cube of 562.9 using the cube of 563.
The cube of 562.9 is approximately 178,827,347.
First, identify the cube of 563,
The cube of 563 is 563³ = 178,827,347.
Since 562.9 is only a tiny bit less than 563, the cube of 562.9 will be almost the same as the cube of 563.
The cube of 562.9 is approximately 178,827,347 because the difference between 562.9 and 563 is very small.
So, we can approximate the value as 178,827,347.
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.