Cube of 228

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 228 can be written as 228³, which is the exponential form.

Or it can also be written in arithmetic form as 228 × 228  × 228.

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 (a³)
   
• 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. 228³ = 228  × 228  × 228

Step 2: You get 11,837,352 as the answer.

Hence, the cube of 228 is 11,837,352.

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 228 into two parts. Let a = 200 and b = 28, so a + b = 228.

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

Step 3: Calculate each term: a³ = 200³ 3a²b = 3 × 200²  × 28 3ab² = 3  × 200 × 28² b³ = 28³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 28)³ = 200³ + 3 × 200²  × 28 + 3  × 200  × 28² + 28³ 228³ = 8,000,000 + 3,360,000 + 470,400 + 21,952 228³ = 11,837,352

Step 5: Hence, the cube of 228 is 11,837,352.

To find the cube of 228 using a calculator, input the number 228 and use the cube function (if available) or multiply 228  × 228  × 228. This operation calculates the value of 228³, resulting in 11,837,352. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 2 followed by 2 and 8.

Step 3: If the calculator has a cube function, press it to calculate 228³.

Step 4: If there is no cube function on the calculator, simply multiply 228 three times manually.

Step 5: The calculator will display 11,837,352.

• 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 to 8. 

• Volume of a Cube: The volume of a cube is calculated by raising the side length to the power of three, expressed as Side³. 

• Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted as ∛x.