Cube of 458

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 458 can be written as 458³, which is the exponential form. Or it can also be written in arithmetic form as 458 × 458 × 458.

In order 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.

• 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.

458³ = 458 × 458 × 458

Step 2: You get 96,036,872 as the answer.

Hence, the cube of 458 is 96,036,872.

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 458 into two parts.

Let a = 450 and b = 8, so a + b = 458.

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

Step 3: Calculate each term

a³ = 450³

3a²b = 3 × 450² × 8

3ab² = 3 × 450 × 8²

b³ = 8³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(450 + 8)³ = 450³ + 3 × 450² × 8 + 3 × 450 × 8² + 8³

458³ = 91,125,000 + 4,860,000 + 108,000 + 512

458³ = 96,036,872

Step 5: Hence, the cube of 458 is 96,036,872.

To find the cube of 458 using a calculator, input the number 458 and use the cube function (if available) or multiply 458 × 458 × 458. This operation calculates the value of 458³, resulting in 96,036,872. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 4 followed by 5 and 8.

Step 3: If the calculator has a cube function, press it to calculate 458³.

Step 4: If there is no cube function on the calculator, simply multiply 458 three times manually.

Step 5: The calculator will display 96,036,872.

• 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 to obtain the cube of that 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, which equals 8.

• Perfect Cube: A number that can be expressed as the cube of an integer.

• Volume of a Cube: The amount of space enclosed within a cube, calculated as the cube of the side length.