Cube of 188

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 188 can be written as 188³, which is the exponential form. Or it can also be written in arithmetic form as 188 × 188 × 188.

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 methods help to cube 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 numbers 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. 188³ = 188 × 188 × 188

Step 2: Calculate the product. You get 6,648,832 as the answer.

Hence, the cube of 188 is 6,648,832.

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 188 into two parts. Let a = 180 and b = 8, so a + b = 188

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

Step 3: Calculate each term a³ = 180³ 3a²b = 3 × 180² × 8 3ab² = 3 × 180 × 8² b³ = 8³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (180 + 8)³ = 180³ + 3 × 180² × 8 + 3 × 180 × 8² + 8³ 188³ = 5,832,000 + 777,600 + 34,560 + 512 188³ = 6,648,672

Step 5: Hence, the cube of 188 is 6,648,672.

To find the cube of 188 using a calculator, input the number 188 and use the cube function (if available) or multiply 188 × 188 × 188. This operation calculates the value of 188³, resulting in 6,648,672. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1 followed by 8 and 8

Step 3: If the calculator has a cube function, press it to calculate 188³.

Step 4: If there is no cube function on the calculator, simply multiply 188 three times manually.

Step 5: The calculator will display 6,648,672.

• 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, which equals 8.
  
   
• Cube Root: The value that, when multiplied by itself three times, gives the original number. Represented as ∛x.
  
   
• Volume Formula for a Cube: The formula used to calculate the volume of a cube, given by V = Side³, where 'Side' is the length of a side of the cube.