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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) \(10(\sqrt3−1)\)
(B) \(5\)
(C) \(10(\sqrt2−1)\)
(D) \(5(\sqrt3−1)\)
(E) \(5(\sqrt2−1)\)
[spoiler]OA=D[/spoiler]
Source: Manhattan GMAT
(A) \(10(\sqrt3−1)\)
(B) \(5\)
(C) \(10(\sqrt2−1)\)
(D) \(5(\sqrt3−1)\)
(E) \(5(\sqrt2−1)\)
[spoiler]OA=D[/spoiler]
Source: Manhattan GMAT
