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 508.
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 508 can be written as 508³, which is the exponential form. Or it can also be written in arithmetic form as, 508 × 508 × 508.
In order to check 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.
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.
508³ = 508 × 508 × 508
Step 2: You get 130,691,392 as the answer.
Hence, the cube of 508 is 130,691,392.
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 508 into two parts.
Let a = 500 and b = 8, so a + b = 508
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ , 3a²b = 3 × 500² × 8 , 3ab² = 3 × 500 × 8² , b³ = 8³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 8)³ = 500³ + 3 × 500² × 8 + 3 × 500 × 8² + 8³
508³ = 125,000,000 + 6,000,000 + 96,000 + 512 508³
= 130,691,392
Step 5: Hence, the cube of 508 is 130,691,392.
To find the cube of 508 using a calculator, input the number 508 and use the cube function (if available) or multiply 508 × 508 × 508. This operation calculates the value of 508³, resulting in 130,691,392. 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 0 and 8
Step 3: If the calculator has a cube function, press it to calculate 508³.
Step 4: If there is no cube function on the calculator, simply multiply 508 three times manually.
Step 5: The calculator will display 130,691,392.
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 508?
The cube of 508 is 130,691,392 and the cube root of 508 is approximately 7.937.
First, let’s find the cube of 508.
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 508³ = 130,691,392
Next, we must find the cube root of 508
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 ∛508 ≈ 7.937
Hence the cube of 508 is 130,691,392 and the cube root of 508 is approximately 7.937.
If the side length of a cube is 508 cm, what is the volume?
The volume is 130,691,392 cm³.
Use the volume formula for a cube V = Side³.
Substitute 508 for the side length: V = 508³ = 130,691,392 cm³.
How much larger is 508³ than 407³?
508³ – 407³ = 92,630,785.
First find the cube of 508³, that is 130,691,392
Next, find the cube of 407³, which is 38,060,607
Now, find the difference between them using the subtraction method.
130,691,392 – 38,060,607 = 92,630,785
Therefore, 508³ is 92,630,785 larger than 407³.
If a cube with a side length of 508 cm is compared to a cube with a side length of 108 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 508 cm is 130,691,392 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 508 means multiplying 508 by itself three times: 508 × 508 = 258,064, and then 258,064 × 508 = 130,691,392.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 130,691,392 cm³.
Estimate the cube of 507.9 using the cube of 508.
The cube of 507.9 is approximately 130,691,392.
First, identify the cube of 508.
The cube of 508 is 508³ = 130,691,392.
Since 507.9 is only a tiny bit less than 508, the cube of 507.9 will be almost the same as the cube of 508.
The cube of 507.9 is approximately 130,691,392 because the difference between 507.9 and 508 is very small.
So, we can approximate the value as 130,691,392.
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.