SIN Bin

2017, problem 10

Resistors arranged in a cube with one edge labelled ABWhile wiring solar panels into his new mountain bunker, the Mad Trapper uses spare parts to create a puzzle to stave off the long nights of boredom after the robot apocalypse.
He constructs a cube as shown that comprises 12 resistors, each with resistance R = 12 ohms. What is the total resistance measured between points A and B? Answer in ohms.

(a) 5
(b) 7
(c) 9
(d) 11
(e) 12