enigma123 wrote:

A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the cube to the surface of the sphere?

(A) \(10(\sqrt{3}- 1)\)

(B) \(5\)

(C) \(10(\sqrt{2} - 1)\)

(D) \(5(\sqrt{3} - 1)\)

(E) \(5(\sqrt{2} - 1)\)

Answer: Option D (Just replace edge length as 10 instead of 20)

Check solution as attached

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