Cube of 320

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 cubed results in a negative number.

The cube of 320 can be written as 320³, which is the exponential form. Or it can also be written in arithmetic form as, 320 × 320 × 320.

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 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 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. 320³ = 320 × 320 × 320

Step 2: You get 32,768,000 as the answer. Hence, the cube of 320 is 32,768,000.

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 320 into two parts, as and . Let a = 300 and b = 20, so a + b = 320

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

Step 3: Calculate each term

a³ = 300³

3a²b = 3 × 300² × 20

3ab² = 3 × 300 × 20²

b³ = 20³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(300 + 20)³ = 300³ + 3 × 300² × 20 + 3 × 300 × 20² + 20³

320³ = 27,000,000 + 5,400,000 + 360,000 + 8,000

320³ = 32,768,000

Step 5: Hence, the cube of 320 is 32,768,000.

To find the cube of 320 using a calculator, input the number 320 and use the cube function (if available) or multiply 320 × 320 × 320. This operation calculates the value of 320³, resulting in 32,768,000. 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 2 and 0

Step 3: If the calculator has a cube function, press it to calculate 320³.

Step 4: If there is no cube function on the calculator, simply multiply 320 three times manually.

Step 5: The calculator will display 32,768,000.

• 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 equals 8. 

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

• Volume Formula: A mathematical formula used to calculate the volume of a 3-dimensional object, such as V = Side³ for a cube.