Quotient of 8 and the Cube of a Number

To find the quotient of 8 divided by the cube of a number, we can follow these steps, assuming the number is  x . These steps make the division process straightforward.

Step 1: Cube the number  x  to get x³ .

Step 2: Divide 8 by  x³  to get the quotient. For example, if  x = 2 , then:

Step 1: Calculate  x³ . Here, \(( 2^3 = 8 ).\)

Step 2: Divide 8 by 8. So, 8 ÷ 8 = 1.

Step 3: Check by reversing the operation: \(( 1 \times 8 = 8 )\), so it is correct.

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

• Cube: The result of multiplying a number by itself twice e.g.,  x³ .

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

• Exponentiation: The process of raising a number to a power (e.g.,  x³  means \(( x \times x \times x)).\)

• Verification: The method of checking the correctness of a calculation by reversing the operation.