Step 1:
For natural numbers, we know,
odd×odd=odd
odd×even=even
even×even=even.
Step 2:
So, a cube of a natural odd number is
odd×odd×odd
=odd×odd
=odd.
Step 3:
For example,
[tex]\begin{gathered} 7\text{ }\times\text{ 7 }\times\text{ 7 = 343} \\ 3\text{ }\times\text{ 3 }\times\text{ 3 = 27} \end{gathered}[/tex]Final answer
The cube of a natural odd number is always odd.
