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 is = a

Cube of number will be = a³

Now, the number is trebled = 3 × a = 3a

Cube of new number = (3a)³ = 27a³

Hence, new cube is 27 times of original cube. Hence, proved.

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