Question

Prove that if a no.becomes half then its cube become one eight cube of the given number

Answer 1

Hello,

Let the number be x
When the number is cubed then it becomes
(x) ³ = x³

Now
The number is halved.
So, the new number becomes

$\frac{x}{2}$
Now,
When it is cubed it becomes

${( \frac{x}{2} ) }^{3} \\ \\ = \frac{ {x}^{3} }{ {2}^{3} } = \frac{ {x}^{3} }{8}$
Now
On separating we find

$\frac{ {x}^{3} }{8} = {x}^{3} \times \frac{1}{8}$
So,

The cube if the new number becomes 1/8 th of the original number 's cube.

Hence,
Proved.


Hope this will be helping you ✌️

Answer 2

Step-by-step explanation:

prove that if a number becomes half then it cube becomes eights the cube of the given number