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.

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

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.

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.

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.

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.

• 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.