Cube of 518
2026-02-28 08:30 Diff
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Last updated on August 5, 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 518.

Cube of 518

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 518 can be written as 518³, which is the exponential form. Or it can also be written in arithmetic form as 518 × 518 × 518.

How to Calculate the Value of Cube of 518

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 kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.

  • By Multiplication Method
     
  • Using a Formula
     
  • Using a Calculator

By Multiplication Method

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.

518³ = 518 × 518 × 518

Step 2: You get 138,458,152 as the answer.

Hence, the cube of 518 is 138,458,152.

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Using a Formula (a³)

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 518 into two parts. Let a = 500 and b = 18, so a + b = 518

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term a³ = 500³ 3a²b = 3 × 500² × 18 3ab² = 3 × 500 × 18² b³ = 18³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³

(500 + 18)³ = 500³ + 3 × 500² × 18 + 3 × 500 × 18² + 18³

518³ = 125,000,000 + 13,500,000 + 486,000 + 5,832 518³

= 138,458,152

Step 5: Hence, the cube of 518 is 138,458,152.

Using a Calculator

To find the cube of 518 using a calculator, input the number 518 and use the cube function (if available) or multiply 518 × 518 × 518. This operation calculates the value of 518³, resulting in 138,458,152. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Enter 518

Step 3: If the calculator has a cube function, press it to calculate 518³.

Step 4: If there is no cube function on the calculator, simply multiply 518 three times manually.

Step 5: The calculator will display 138,458,152.

Tips and Tricks for the Cube of 518

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.

Common Mistakes to Avoid When Calculating the Cube of 518

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:

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Problem 1

What is the cube and cube root of 518?

Okay, lets begin

The cube of 518 is 138,458,152 and the cube root of 518 is approximately 8.059.

Explanation

First, let’s find the cube of 518.

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 518³ = 138,458,152.

Next, we must find the cube root of 518. x

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 ∛518 ≈ 8.059.

Hence, the cube of 518 is 138,458,152 and the cube root of 518 is approximately 8.059.

Well explained 👍

Problem 2

If the side length of the cube is 518 cm, what is the volume?

Okay, lets begin

The volume is 138,458,152 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 518 for the side length: V = 518³ = 138,458,152 cm³.

Well explained 👍

Problem 3

How much larger is 518³ than 418³?

Okay, lets begin

518³ – 418³ = 96,405,352.

Explanation

First find the cube of 518³, that is 138,458,152.

Next, find the cube of 418³, which is 42,052,800.

Now, find the difference between them using the subtraction method.

138,458,152 – 42,052,800 = 96,405,352.

Therefore, 518³ is 96,405,352 larger than 418³.

Well explained 👍

Problem 4

If a cube with a side length of 518 cm is compared to a cube with a side length of 18 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 518 cm is 138,458,152 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).

Cubing 518 means multiplying 518 by itself three times: 518 × 518 = 268,324, and then 268,324 × 518 = 138,458,152.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.

Therefore, the volume of the cube is 138,458,152 cm³.

Well explained 👍

Problem 5

Estimate the cube 517.9 using the cube 518.

Okay, lets begin

The cube of 517.9 is approximately 138,458,152.

Explanation

First, identify the cube of 518.

The cube of 518 is 518³ = 138,458,152.

Since 517.9 is only a tiny bit less than 518, the cube of 517.9 will be almost the same as the cube of 518.

The cube of 517.9 is approximately 138,458,152 because the difference between 517.9 and 518 is very small.

So, we can approximate the value as 138,458,152.

Well explained 👍

FAQs on Cube of 518

1.What are the perfect cubes up to 518?

The perfect cubes up to 518 are 1, 8, 27, 64, 125, 216, 343.

2.How do you calculate 518³?

To calculate 518³, use the multiplication method: 518 × 518 × 518, which equals 138,458,152.

3.What is the meaning of 518³?

518³ means 518 multiplied by itself three times, or 518 × 518 × 518.

4.What is the cube root of 518?

5.Is 518 a perfect cube?

No, 518 is not a perfect cube because no integer multiplied by itself three times equals 518.

Important Glossaries for Cube of 518

  • Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
  • Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
  • Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.
  • Volume of a Cube: The measure of space inside a cube, calculated by raising the length of a side to the third power (Side³).
  • Perfect Cube: A number that is the cube of an integer.

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Jaskaran Singh Saluja

About the Author

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.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.