Cube A is inscribed in sphere B, which is inscribed in cube C. If the sides of cube A have length 4, what is the volume of cube C? (PLEASE HELP I WILL GIVE BRAINLIEST)

Volume of cube C is L³ =

Step-by-step explanation:

We have , Cube A is inscribed in sphere B, which is inscribed in cube C. Side of cube A have length 4 . Since , cube A is inscribed in sphere B , half of Diagonal length of cube A will be the radius of sphere B . We can find it by Pythagoras Theorem, as

Taking square root both sides, ,

Radius of sphere B is half of diagonal i.e. r = .

Now , length of cube C is twice the radius of sphere B i.e. L = 2r = .

∴Volume of cube C is L³ =

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step-by-step explanation:

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