Question

prove that if a number is tripled ,then its cube is 27 times the cube of the given number

Answer 1

lets us think the number be x its cube is x³
in question they gave that the number is tripled
so the new number is (3x)³
3x*3x*3x
27x³
Cube of the original number : Cube of the new number which is tripled
                                       x³    :27x³
                                       1     :27
hence proved

Answer 2

Let the number be x.
Cube of x = x^3
When the number is tripled = 3x
Cube of new number = (3x)^3=27x^3= 27× cube of new number