Cube of 304

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 multiplying a negative number by itself three times results in a negative number.

The cube of 304 can be written as (304³), which is the exponential form. Or it can also be written in arithmetic form as, 304 x 304 x 304.

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

1. By Multiplication Method
2. Using a Formula
3. 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. 304³ = 304 x 304 x 304

Step 2: Calculate the product. You get 28,142,304 as the answer. Hence, the cube of 304 is 28,142,304.

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 304 into two parts, as a and b. Let a = 300 and b = 4, so a + b = 304

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

Step 3: Calculate each term

a³ = 300³

3a²b = 3 x 300² x 4

3ab² = 3 x 300 x 4² 

b³ = 4³

Step 4: Add all the terms together:

(a+b)³ = a³ + 3a²b + 3ab² + b³

(300 + 4)³ = 300³ + 3 x 300² x 4 + 3 x 300 x 4² + 4³

304³ = 27,000,000 + 1,080,000 + 14,400 + 64

304³ = 28,142,464

Step 5: Hence, the cube of 304 is 28,142,464.

To find the cube of 304 using a calculator, input the number 304 and use the cube function (if available) or multiply (304 x 304 x 304). This operation calculates the value of 304³, resulting in 28,142,464. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 3 followed by 0 and 4.

Step 3: If the calculator has a cube function, press it to calculate 304³.

Step 4: If there is no cube function on the calculator, simply multiply 304 three times manually.

Step 5: The calculator will display 28,142,464.

• 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 x 2 x 2 equals 8.

• Volume of a Cube: The amount of space a cube occupies, calculated by raising the side length to the third power, represented as Side³.

• Perfect Cube: A number that can be expressed as the cube of an integer. For example, 27 is a perfect cube because it is 3³.