Cube of 0.216

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 0.216 can be written as 0.216^3, which is the exponential form.

Or it can also be written in arithmetic form as, 0.216 × 0.216 × 0.216.

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 calculate the cube of numbers faster and easier without confusion.

• 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. 0.216³ = 0.216 × 0.216 × 0.216

Step 2: You get approximately 0.010077696 as the answer.

Hence, the cube of 0.216 is approximately 0.010077696.

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 0.216 into two parts, as 0.2 and 0.016. Let a = 0.2 and b = 0.016, so a + b = 0.216

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

Step 3: Calculate each term a³= 0.2³ = 0.008 3a²b = 3 × 0.2² × 0.016 = 0.00192 3ab² = 3 × 0.2 × 0.016² = 0.0001536 b³ = 0.016³ = 0.000004096

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (0.2 + 0.016)³ = 0.008 + 0.00192 + 0.0001536 + 0.000004096 0.216³ = 0.010077696

Step 5: Hence, the cube of 0.216 is approximately 0.010077696.

To find the cube of 0.216 using a calculator, input the number 0.216 and use the cube function (if available) or multiply 0.216 × 0.216 × 0.216. This operation calculates the value of 0.216³, resulting in approximately 0.010077696. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Input 0.216

Step 3: If the calculator has a cube function, press it to calculate 0.216³.

Step 4: If there is no cube function on the calculator, simply multiply 0.216 three times manually.

Step 5: The calculator will display approximately 0.010077696.

• Cubing a number less than 1 results in a smaller number.
   
• The cube of a number with a decimal point can be calculated using the same methods as whole numbers; just be careful with decimal places.
   
• The cube of a fraction less than 1 is smaller than the original fraction.

• 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, 2^3 represents 2 × 2 × 2 equals 8.

• Cube Root: A number that, when multiplied by itself three times, gives the original number. For example, the cube root of 8 is 2.

• Perfect Cube: A number that is the cube of an integer and can be expressed as n^3, where n is an integer.