Question

prove that if a no. is tripled then its cube is 27 times the cube of the given numberprove that if a number is tripled then its cube is 27 times the cube of the given number

Answer 1

Solution :-

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

Answer

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Answer 2

Step-by-step explanation:

The original no. = x

Its cube= x^3

Its original no. which is tripled then new no.= 3x

Cube of new no.=(3x)^3

=3x×3x×3x

=27x^3

Cube of oringinal no.:Cube of new no.

1 : 27

Hence, it is proved

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