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A sphere is inscribed in a cube with an edge of \(x\) centimeters. In terms of \(x\) what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere?
A. \(x(\sqrt3-1)\)
B. \(\dfrac{x}2\)
C. \(x(\sqrt2-1)\)
D. \(\dfrac{x}{2}(\sqrt3-1)\)
E. \(\dfrac{x}{2}(\sqrt2-1)\)
Answer: D
Source: GMAT Club Tests
A. \(x(\sqrt3-1)\)
B. \(\dfrac{x}2\)
C. \(x(\sqrt2-1)\)
D. \(\dfrac{x}{2}(\sqrt3-1)\)
E. \(\dfrac{x}{2}(\sqrt2-1)\)
Answer: D
Source: GMAT Club Tests
