Cube of 277

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 277 can be written as (277^3), which is the exponential form.

Or it can also be written in arithmetic form as, (277 times 277 times 277).

In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula ((a^3)), 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
   
• 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. (277³ = 277 times 277 times 277)

Step 2: You get 21,269,933 as the answer. Hence, the cube of 277 is 21,269,933.

The formula ((a + b)³) is a binomial formula for finding the cube of a number. The formula is expanded as (a³ + 3a^2b + 3ab² + b³). 

Step 1: Split the number 277 into two parts, as desired. Let (a = 270) and (b = 7), so (a + b = 277)

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

Step 3: Calculate each term (a³ = 270³) (3a^2b =  3 × 270² × 7) (3ab² = 3 × 270 × 72) (b³ = 7³)

Step 4: Add all the terms together: ((a + b)³ = a³ + 3a^2b + 3ab² + b³) ((270 + 7)³ = 270³ + 3 × 270² × 7 + 3 × 270 × 7² + 7_³) (277³ = 19,683,000 + 1,377,300 + 39,690 + 343) (277³ = 21,269,933)

Step 5: Hence, the cube of 277 is 21,269,933.

To find the cube of 277 using a calculator, input the number 277 and use the cube function (if available) or multiply (277 × 277× 277). This operation calculates the value of (277³), resulting in 21,269,933. 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 7 and 7

Step 3: If the calculator has a cube function, press it to calculate (277³).

Step 4: If there is no cube function on the calculator, simply multiply 277 three times manually.

Step 5: The calculator will display 21,269,933.

• 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, (2^3) represents (2 \times 2 times 2) equals 8.
   
• Volume of a Cube: The space occupied by a cube, calculated as the cube of its side length.
   
• Perfect Cube: A number that can be expressed as the cube of an integer.