Prove that if a number is trebled then its cube is 27 time the cube of – InterviewSolution

1.

Prove that if a number is trebled then its cube is 27 time the cube of the given number.

Answer»

Let the number be a

So the cube of the number is = a³

Now, the number is trebled ,

= 3 × a

= 3a

So the cube of new number,

= (3a)³

= 27a³

∴ New cube is 27 times of the original cube.

Hence ,it is proved

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