Question

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


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Answer 1

Answer:

for example 3×3= 9;9×3=27

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Answer 2

Let us assume that the original number is x .

Cube of x = 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  = x³ : 27x³

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 .