er... i am not too sure what you want to do with the current but i'm guessing you want to resolve the cube of resistors into a single resistor. But you didn't say where you were measuring the resistance from too...I'll assume that you are taking the resistance across one vertex to the opposite vertex.
To resolve this resistor cube consider a vertex. Branching out of this vertex are 3 equal resistors, they are in parallel. Each of this 3 resistors branch out to 2 equal resistor(6 in total) and finally they converge back to 3 resistors in parallel.(Kind of hard to explain...easier to show with a cube)
But essentially your cube of resistors is then equivalent to
Starting Opposite
vertex vertex
Code:
/-R-/
/ /
/-R-/ /-R-/ /-R-/
/ / / / / /
----R-----------/-R-/------/-R-/----
/ / / / / /
/-R-/ /-R-/ /-R-/
/ /
/-R-/
/ /
/-R-/
er... i can't seem to get the thing to stay in place
Its like
.....R
.R..R.R
-R-R-R
.R..R.R
.....R
.....R
The dots are place holders the - are bits of wire. if the R is on top of anotehr R its meant to be in parallel
So that is equivalent to 5R/6.
Hope that helps.