Question

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

Answer 1

Answer:

Let the number is x

If number is tripled then number =3x

Cube is x ^3 and (3x)^3

=27x^3

So, it is always 27 times the cube.

Hence, proved

Step-by-step explanation:

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Answer 2

Answer:

Let us consider that the original number = $x$

Its cube = $x^3$  

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

Cube of the new number = $(3x)^3$

                                          = $27x^3$

∴ Cube of the original number : Cube of the new number which is tripled

                   =  $x^3 : 27x^3$

                   = $1 : 27$  

⇒ Therefore the cube of the new number is 27 times the cube of the original number.

                  Hope it helps you^_^