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# A sphere is inscribed in a cube with an edge of 10. What is

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A sphere is inscribed in a cube with an edge of 10. What is [#permalink]

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01 Jul 2007, 10:19
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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?
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01 Jul 2007, 11:06
sh.distance=[diagonal of cube - diameter of sphere]/2

which is [10*sqrt3 - 10]/2 =5*sqrt3-5 =5*(sqrt3-1)
01 Jul 2007, 11:06
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