Cube of 488

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 488 can be written as 488³, which is the exponential form. Or it can also be written in arithmetic form as 488 × 488 × 488.

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 cube 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 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. 488³ = 488 × 488 × 488

Step 2: You get 116,182,272 as the answer. Hence, the cube of 488 is 116,182,272.

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 488 into two parts. Let a = 480 and b = 8, so a + b = 488

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

Step 3: Calculate each term a³ = 480³

3a²b = 3 × 480² × 8

3ab² = 3 × 480 × 8²

b³ = 8³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(480 + 8)³ = 480³ + 3 × 480² × 8 + 3 × 480 × 8² + 8³

488³ = 110,592,000 + 55,296 + 92,160 + 512

488³ = 116,182,272

Step 5: Hence, the cube of 488 is 116,182,272.

To find the cube of 488 using a calculator, input the number 488 and use the cube function (if available) or multiply 488 × 488 × 488. This operation calculates the value of 488³, resulting in 116,182,272. 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 8 followed by 8

Step 3: If the calculator has a cube function, press it to calculate 488³.

Step 4: If there is no cube function on the calculator, simply multiply 488 three times manually.

Step 5: The calculator will display 116,182,272.

• 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 method 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 product of an integer multiplied by itself twice, such as 8 (2 × 2 × 2) or 27 (3 × 3 × 3).

• Volume: The amount of space a 3-dimensional object occupies, often measured in cubic units. For a cube, it is calculated as the side length cubed.