Prove that if a number is trebled then its cube is 27 times the cube of the given number.

Explanation

Let the number tripled be `a`.
Cube of this number will be `a^3`
Now, if the number is tripled it will become `3a`.
Cube of new number will be `(3a)^3=27a^3`.
As we can clearly see that the cube of the new number is `27` times the original number. Therefore, we can say that if a number is tripled then its cube is `27` times the cube of the given number.