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Discussion

Mathematics Preparation for SAT
(146)

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There is a cube of edge length 2. A sphere of radius 1 is drawn with a corner of this cube as its centre. Similarly, identical spheres drawn at the rest of the corners of the cube. What will be the radius of the largest sphere that can be centred within the cube which touches externally each of the remaining spheres in at most one point?

 
– 1
– 1
1
– 1
+ 1

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Rahul S

This qn isnt the same as its 2D equivalent of circles and squares.