Question

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

Answer 1

Solution :-

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

Answer.

Answer 2

Answer:

Step-by-step explanation:

Let the No. = x

Its cube = x³

If the No. is tripled then the new no. = 3x

Cube of the new no. = (3x)³

= 3x× 3x×3x

=27x³

Cube of the no. : Cube of the new no. which is tripled =1:7

Hence the cube of the no. is 27times the cube of the no.