Question

Prove that if a number is tripled , then it's cube is 27 times the cube of the given number

Answer 1

Let us assume that the original number = 'x'

Its cube = (x)³

= x³

If the original number is tripled then the new number = 3*x

= 3x

Cube of the new number = (3x)³

= 3x*3x*3x

= 27x³

Therefore,
Cube of the original number : Cube of the new number which is tripled

⇒ 1 : 27

Hence, the cube of the new number is 27 times the cube of the original number.

Hence proved