Question

prove that if a number is tripled ,then it's cube is 27 times the cube of the given number

Answer 1

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

Hence,

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 2

HEYA!
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Let the number be x

$cube \: of \: number \: = x {}^{3} \\ \\ now \: \: three \: \: times \: \: the \: \: number \: = 3x \\ cube \: of \: 3x = (3x) {}^{3} \\ \\ = > 27x {}^{3}$
Hence it is 27 times the cube of x.

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