Question

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

Answer 1

Hey mate here is your answer

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

hope it helps you

Please mark as BRAINLIEST.

Answer 2

let the number be a. when tripled, it becomes 3 a.
on cubing , we get
${(3a)}^{3}$
=>
$27 {a}^{3}$
So it is 27 times the cube of the given number that is
${a}^{3}$
Hence proved .Hope it helps you...