Let us assume that the original number = 'x'
Its cube = (x)³
= x³
If the original number is tripled then the new number = 3*x
= 3x
Cube of the new number = (3x)³
= 3x*3x*3x
= 27x³
Therefore,
Cube of the original number : Cube of the new number which is tripled
⇒ 1 : 27
Hence, the cube of the new number is 27 times the cube of the original number.
Hence proved
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