What is the Cube Number?-Definition, Cube of Fraction, And Negative Number

Whenever a number (x) is multiplied three times, then the resultant product number is known as the cube of that number. The cube for the number (x) is denoted as x³ and is read as “x-cubed” (or) “x raised to 3”. “x to the power of 3”

What is a Cube Number?

When an integer is multiplied by the same integer three times, the resultant number is called a cube number. Cube numbers are also known as perfect cubes. Thus, a cube number is a number with the exponential power of 3, or the multiplication of a number by itself three times

In geometry, the volume of a cube = length × width × height.

 For example:

4 × 4 × 4 = 4³ = 64.

– 3 × – 3 × – 3 = -27.

Cube numbers of negative numbers are negative and

Cube numbers of positive numbers are positive.

Cube of Fraction

The cube of a fraction, Similar to the cube of a number, the cube of a fraction can be determined by multiplying it three times.

 For example, the cube of the fraction (3/5) can be written as 3/5 × 3/5 × 3/5.  We get the value of the cube as (3 × 3 × 3) / (5 × 5 × 5). This is equal to (3³/ 5³) = 27/125.

Cube of Negative Number

Calculating the cube of a negative number is the same as that of a whole number and fraction. The cube of a positive number is always a positive number.

For example, finding the cube of (+2). We know that the cube of (+2) is (+2) x (+2) x (+2) = (+8) hence prove the cube of a positive number is positive. The cube of a negative number is always negative. For example, finding the cube of -3. We know that the cube of -3 is (-3) × (-3) × (-3) = (-27) hence prove the cube of a negative number is negative.

Perfect Cube Number?

A perfect cube is a number that is a result of multiplying the same integer three times. For example, multiplying the number 4 three times Answer in 64. Therefore, 64 is a perfect cube.