Question

Prove that if a no. is tripled, then its cube becomes 27 times the cube of the given number.

Answer 1

HERE IS YOUR ANSWER :

Let's take an example 3

If we triple 3 it will be 9 (3×3)

The cube of 9 is 729 and the cube of 3 is 27

And 27 × 27 is 729

Hence it is proved

Another example 7

7×3 = 21

21^3 = 9261

7^3 = 343

343 × 27 = 9261

HENCE IT IS PROVED THAT IF A NUMBER IS TRIPLED THEN IT'S CUBE IS 27 TIMES THE CUBE OF THE GIVEN NUMBER.

Answer 2

$\large {\green {\sf {\underline {\underline{Step-by-step \: Explanation}}}:-}}$

Let the given number be x.

When the number is trebled, the new number will be 3x.

${(3x)}^{3} = 27 \: {x}^{3}$

= 27 (cube of the given number) Hence proved

$\large\color{blue}{I \: hope \: this \: answer \: will \: be \: helpful.}$

$\huge\dag\sf\blue{By \: Divyanshu}$