A cuboid has 6 faces, 12 edges and 8 vertices which all meet at right angles.
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I'm pretty sure it is 12 pairs of parallel lines.
It is possible for all nine lines to be perpendicular to at least one other line.
Each of the eight line segments is perpendicular to 2 line segments. So there are 8 pair in all.
how many sets of parallel lines are in a triangle