Cube of 1087

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 1087 can be written as 1087³, which is the exponential form. Or, it can also be written in arithmetic form as 1087 × 1087 × 1087.

In order to check whether a number is a cube number or not, we can use the following three methods:

• Multiplication Method
   
• Factor Formula (a³)
   
• Using a calculator
   

These three methods will help calculate the cube faster and easier without confusion or getting 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. 1087³ = 1087 × 1087 × 1087

Step 2: You get 1,284,031,303 as the answer.


Hence, the cube of 1087 is 1,284,031,303.

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 1087 into two parts, as 1000 and 87. Let a = 1000 and b = 87, so a + b = 1087

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

Step 3: Calculate each term a³ = 1000³ 3a²b = 3 × 1000² × 87 3ab² = 3 × 1000 × 87² b³ = 87³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1000 + 87)³ = 1000³ + 3 × 1000² × 87 + 3 × 1000 × 87² + 87³ 1087³ = 1,000,000,000 + 261,000,000 + 22,689,000 + 658,503 1087³ = 1,284,031,303

Step 5: Hence, the cube of 1087 is 1,284,031,303.

To find the cube of 1087 using a calculator, input the number 1087 and use the cube function (if available) or multiply 1087 × 1087 × 1087. This operation calculates the value of 1087³, resulting in 1,284,031,303. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly

Step 2: Input 1087

Step 3: If the calculator has a cube function, press it to calculate 1087³

Step 4: If there is no cube function on the calculator, simply multiply 1087 three times manually

Step 5: The calculator will display 1,284,031,303

• 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: It is 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: It is 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 = 8.
   
• Multiplication Method: A basic mathematical technique used to find the product of numbers by repeated addition.
   
• Calculator Function: A feature on calculators that allows for quick computations, including cubing a number.