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5.9 : Problem for a Rainy Day

Another problem to while away a rainy Sunday afternoon would be to replace each of the resistors in the cube of subsection 4.14.1 with capacitors each of capacitance c.  What is the total capacitance across opposite corners of the cube?  I would start by supposing that the cube holds a net charge of 6Q, and I would then ask myself what is the charge held in each of the individual capacitors.  And I would then follow the potential drop from one corner of the cube to the opposite corner.  I make the answer for the effective capacitance of the entire cube 1.2c.