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