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A smaller cube with side b (depicted by ...

A smaller cube with side b (depicted by dashed lines) is excised from a bigger uniform cube with side a as shown below such that both cubes have a common vertex P. Let X = a/b. If the centre of mass of the remaining solid is at the vertex O of smaller cube then X satisfies.

A

`X^(3)-X^(2)-X-1=0`

B

`x^(2)-X-1=0`

C

`X^(3)+X^(2)-X-1=0`

D

`X^(2)-X-1=0`

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The correct Answer is:
A
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