Answer
$(1,2,5),(1,4,3),(3,2,3),(3,4,3),(3,2,5),(1,4,5).$
Work Step by Step
If the opposite vertices of a rectangular box are: $(a,b,c)$ and $(x,y,z)$ then the other six vertices will have coordinates (because the other $6$ vertices must "inherit" each coordinate from either of the opposite vertices): $(a,b,z),(a,y,c),(x,b,c),(x,y,c),(x,b,z),(a,y,z).$
Hence here the other vertices are: $(1,2,5),(1,4,3),(3,2,3),(3,4,3),(3,2,5),(1,4,5).$