Cube of 288

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 288 can be written as (288³), which is the exponential form.

Or it can also be written in arithmetic form as, (288 × 288 × 288).

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. (288³ = 288 × 288 × 288\)

Step 2: You get 23,783,552 as the answer. Hence, the cube of 288 is 23,783,552.

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 + b\)

Step 1: Split the number 288 into two parts, as (a) and (b). Let (a = 280) and (b = 8), so (a + b = 288)

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

Step 3: Calculate each term (a³= 280³) (3a^2b = 3 × 280² × 8) (3ab² = 3 × 280 × 8²) (b³ = 8³)

Step 4: Add all the terms together: ((a + b)³ = a³ + 3a^2b + 3ab² + b³) ((280 + 8)³= 280³ + 3 × 280^{2 ×} 8 + 3 × 280 × 8² + 8³) (288³ = 21,952,000 + 188,160 + 53,760 + 512\) (288³ = 23,783,552\

Step 5: Hence, the cube of 288 is 23,783,552.

To find the cube of 288 using a calculator, input the number 288 and use the cube function (if available) or multiply \(288 \times 288 \times 288\). This operation calculates the value of (288³), resulting in 23,783,552. 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 8 and 8

Step 3: If the calculator has a cube function, press it to calculate (288³).

Step 4: If there is no cube function on the calculator, simply multiply 288 three times manually.

Step 5: The calculator will display 23,783,552.

• 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.
   
• Volume: The amount of space occupied by a 3-dimensional object, typically measured in cubic units.
   
• Cube Root: A number that, when used three times in a multiplication, gives the original number. For example, the cube root of 8 is 2 because (2 × 2 × 2 = 8\).