Quotient of 3 and the Cube of a Number

To find the quotient of 3 divided by the cube of a number, we can follow these steps. These steps simplify the division process.

Step 1: Identify the number you want to cube. Let's assume the number is x .

Step 2: Calculate the cube of  x . This is done by multiplying  x  by itself three times:\( ( x^3 = x \times x \times x ).\)

Step 3: Divide 3 by the cube of x . The quotient is\( ( \frac{3}{x^3} ).\)

Step 4: Verify by multiplying the quotient by \(( x^3 ): ( \left(\frac{3}{x^3}\right) \times x^3 = 3 ),\) so it is correct.

• Quotient: The result we get after dividing two numbers.

• Cube: The result of multiplying a number by itself three times.

• Division: The process of determining how many times one number is contained within another.

• Multiplication: The process of combining quantities, often used to find the cube of a number.

• Variable: A symbol used to represent a number in mathematical expressions or equations, commonly denoted by letters such as  x .