Question

Prove that if a no. is tripled, then it's cube is 27 times the cube of the given number.



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Answer 1

Step-by-step explanation:

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Prove that if a number is tripled, then its cube is 27 times the cube of th

Prove that if a number is tripled, then its cube is 27 times the cube of the given number.

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A)

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