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Question 247861: A cube ABCDEFGH has edges of length 4.
If the faces of the cube are "missing", but the egdes are solid lines(forming a cubical frame), what is the radius of the largest sphere that just fits inside the cubical frame.(touching each of the twelve edges)
Many Regards,
Krish Desai
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A cube ABCDEFGH has edges of length 4.
If the faces of the cube are "missing", but the egdes are solid lines(forming a cubical frame), what is the radius of the largest sphere that just fits inside the cubical frame.(touching each of the twelve edges)
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The diameter of the sphere is the diagonal across the square, = 4sqrt(2)
The radius = 2sqrt(2)
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It's the same as a circle containing a square of sides = 4.
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