Last updated on June 2nd, 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 cubes of 506.
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 506 can be written as 506³, which is the exponential form. Or it can also be written in arithmetic form as 506 × 506 × 506.
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.
506³ = 506 × 506 × 506
Step 2: You get 129,502,216 as the answer.
Hence, the cube of 506 is 129,502,216.
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 506 into two parts.
Let a = 500 and b = 6, so a + b = 506
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ , 3a²b = 3 × 500² × 6 , 3ab² = 3 × 500 × 6² , b³ = 6³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 6)³ = 500³ + 3 × 500² × 6 + 3 × 500 × 6² + 6³ 506³
= 125,000,000 + 4,500,000 + 54,000 + 216 506³
= 129,502,216
Step 5: Hence, the cube of 506 is 129,502,216.
To find the cube of 506 using a calculator, input the number 506 and use the cube function (if available) or multiply 506 × 506 × 506. This operation calculates the value of 506³, resulting in 129,502,216. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 5, 0, and 6
Step 3: If the calculator has a cube function, press it to calculate 506³.
Step 4: If there is no cube function on the calculator, simply multiply 506 three times manually.
Step 5: The calculator will display 129,502,216.
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.
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 506?
The cube of 506 is 129,502,216 and the cube root of 506 is approximately 7.970.
First, let’s find the cube of 506.
We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 506³ = 129,502,216.
Next, we must find the cube root of 506.
We know that the cube root of a number x is such that ∛x = y, where x is the given number, and y is the cube root value of the number.
So, we get ∛506 ≈ 7.970.
Hence, the cube of 506 is 129,502,216 and the cube root of 506 is approximately 7.970.
If the side length of the cube is 506 cm, what is the volume?
The volume is 129,502,216 cm³.
Use the volume formula for a cube V = Side³.
Substitute 506 for the side length: V = 506³ = 129,502,216 cm³.
How much larger is 506³ than 406³?
506³ – 406³ = 83,958,056.
First, find the cube of 506³, which is 129,502,216.
Next, find the cube of 406³, which is 45,544,160.
Now, find the difference between them using the subtraction method.
129,502,216 – 45,544,160 = 83,958,056.
Therefore, 506³ is 83,958,056 larger than 406³.
If a cube with a side length of 506 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 506 cm is 129,502,216 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 506 means multiplying 506 by itself three times: 506 × 506 = 256,036, and then 256,036 × 506 = 129,502,216.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 129,502,216 cm³.
Estimate the cube of 505.9 using the cube of 506.
The cube of 505.9 is approximately 129,502,216.
First, identify the cube of 506.
The cube of 506 is 506³ = 129,502,216.
Since 505.9 is only a tiny bit less than 506, the cube of 505.9 will be almost the same as the cube of 506.
The cube of 505.9 is approximately 129,502,216 because the difference between 505.9 and 506 is very small.
So, we can approximate the value as 129,502,216.
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.