Cube numbers in math? Explained

Learn and know what are the cube numbers in mathematics? In NCERT i.e. in CBSE class 8 syllabus we have one chapter on cube and cube roots. By this we can know how much important chapter to know.

So this concept mainly will be helpful for the students who are in class 8. We know different types of numbers, in that some numbers are cube numbers. Now we will learn what are that numbers which are cube numbers and we will see the first 10 cube numbers. At last we will discuss some important properties of cube numbers.

What is cube of numbers means?

The cube of number is defined as “if any number is multiplied by itself thrice then the result obtained is called as the cube number”. To represent cube of a number we have a symbol. Suppose if “n” is a number then the cube of the number “n” is written as “${ n }^{ 3 }$”.

Example:

If 23 is a number then the cube of 23 is denoted as ${ 23 }^{ 3 }$.

55 cube is denoted as ${ 55 }^{ 3 }$.

The first 10 cube numbers are as follows:

Generally, we have infinite number of cube numbers in math.

“1” is the cube of “1”.

“8” is the cube of “2”.

“27” is the cube of “3”.

“64” is the cube of “4”.

“125” is the cube of “5”.

“216” is the cube of “6”.

“343” is the cube of “7”.

“512” is the cube of “8”.

“729” is the cube of “9”.

“1000” is the cube of “10”.

Some important properties of cube numbers are:

The cube of any odd number is always the odd number only.

Example:

${ 1 }^{ 3 }$ = 1, ${ 9 }^{ 3 }$ = 729

The cube of any even number is always the even number only.

Example:

${ 4 }^{ 3 }$ = 64, ${ 8 }^{ 3 }$ = 512

The cube of any negative number is always a negative number.

Example:

${ \left( -3 \right) }^{ 3 }$ = -27

${ \left( -7 \right) }^{ 3 }$  = -343