Cube of 559

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 by itself three times results in a negative number.

The cube of 559 can be written as (559³), which is the exponential form.

Or it can also be written in arithmetic form as, (559 × 559 × 559).

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 calculate the cube of 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. [559³ = 559 × 559 × 559]

Step 2: You get 174,505,679 as the answer. Hence, the cube of 559 is 174,505,679.

The formula ((a + b)³) is a binomial formula for finding the cube of a number. The formula is expanded as (a³ + 3a^2b + 3ab² + b³).

Step 1: Split the number 559 into two parts, such as (550) and (9). Let (a = 550) and (b = 9), so (a + b = 559).

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

Step 3: Calculate each term (a³ = 550³) (3a^2b = 3 × 550² × 9) (3ab² = 3 × 550 × 9²) (b³ = 9³)

Step 4: Add all the terms together: ((550 + 9)³ = 550³ + 3 × 550² × 9 + 3 × 550 × 9^2 + 9³) [559³ = 166,375,000 + 81,675,000 + 24,255 + 729] [559³ = 174,505,679]

Step 5: Hence, the cube of 559 is 174,505,679.

To find the cube of 559 using a calculator, input the number 559 and use the cube function (if available) or multiply (559 × 559 × 559). This operation calculates the value of (559³), resulting in 174,505,679. 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 5 and 9.

Step 3: If the calculator has a cube function, press it to calculate (559³).

Step 4: If there is no cube function on the calculator, simply multiply 559 three times manually.

Step 5: The calculator will display 174,505,679.

• 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: 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: 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. 
• Perfect Cube: A number that can be expressed as the cube of an integer. 
   
• Volume of a Cube: The amount of space occupied by a cube, calculated as the side length cubed.