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

## Answers

Answered by

72

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

Now,

When it is cubed it becomes

Now

On separating we find

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 ✌️

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

Now,

When it is cubed it becomes

Now

On separating we find

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 ✌️

Answered by

12

**Step-by-step explanation:**

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

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