Cube of 132

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 132 can be written as 132³, which is the exponential form.

Or it can also be written in arithmetic form as 132 × 132 × 132.

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 will help in cubing numbers faster and easier without confusion 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 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. 132³ = 132 × 132 × 132

Step 2: You get 2,299,968 as the answer. Hence, the cube of 132 is 2,299,968.

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 132 into two parts. Let a = 130 and b = 2, so a + b = 132.

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

Step 3: Calculate each term a³ = 130³ 3a²b = 3 × 130² × 2 3ab² = 3 × 130 × 2² b³ = 2³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (130 + 2)³ = 130³ + 3 × 130² × 2 + 3 × 130 × 2² + 2³ 132³ = 2,197,000 + 101,400 + 1,560 + 8 132³ = 2,299,968

Step 5: Hence, the cube of 132 is 2,299,968.

To find the cube of 132 using a calculator, input the number 132 and use the cube function (if available) or multiply 132 × 132 × 132. This operation calculates the value of 132³, resulting in 2,299,968. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1, 3, followed by 2.

Step 3: If the calculator has a cube function, press it to calculate 132³.

Step 4: If there is no cube function on the calculator, simply multiply 132 three times manually.

Step 5: The calculator will display 2,299,968.

• 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 product of an integer multiplied by itself three times.
   
• Cube Root: A value that, when multiplied by itself three times, gives the original number. It is the inverse operation of cubing a number.