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By the use of symmetry, I have found that equal currents will flow through opposite edges like A-C and C'A', but still, the use of kirchoff's current and voltage laws lead to four equations in four variables which I am not able to solve, neither I am sure that the four equations which I have created are independent since I have used symmetry in dividing currents. I think there should be some shorter method to solve this, can any one please give a hint?(Not complete solution)

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  • \$\begingroup\$ Ah... I remember this cube... This question is pretty common within the electrical engineering curriculum so I'm pretty sure you can find this question somewhere online. \$\endgroup\$
    – user103380
    Commented May 5, 2020 at 16:52
  • \$\begingroup\$ But I am a senior secondary school student. I have searched on Google but didn't find it anywhere. \$\endgroup\$
    – user250720
    Commented May 5, 2020 at 16:58
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    \$\begingroup\$ I don't see why the question needs to state what the potential difference is between A and A' to be able to solve this. \$\endgroup\$
    – Andy aka
    Commented May 5, 2020 at 17:50

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The corners form neutral point for 3 resistors in wye. You should be able to convert them to delta and combine resistors (going back-and-forth between delta and wye) until you simplify enough to solve. See here.

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