When a battery is installed in the trunk ,should the cable be run through the inside of the car or along the bottom???
HyperValiant

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1960 Hyper-Pac Valiant(rolling test-bed)
1963 Valiant V2OO(Son's summer project,- he just turned 15 )
1972 Valiant 4dr(Daughter Kelly's repair in progress)
1974 Valiant (v8) daughter Kelly's work in progress

If its just a single wire, inside. Otherwise the weather will eventually make it brittle and it will corrode easier. I would never run power wire outside unless it was some sort of SO or similar cord.

When I mounted my electric fuel pump on the frame rail just past the rear end, I used 2 conductor SO cord. SO cord has fibers between the individual conductors and an outer shield that is chemical and weather resistant, but such a cord is not suited for a main battery feed because it is not availible in a heavy enough gauge and in single conductors.

If you run the cables under the car, I would recommend doing it through some kind of conduit...like plastic pipe held on with brackets or something. I'll let you know when I do it.

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'68 Dodge Dart 4dr Sedan

At your hardware store, in the electrical section you can find some flexible metal conduit that they use for commercial wiring. That would work well, you wouldn't need a bender or any special tools to use it.

Easy to work with, you don't need a hacksaw to cut it

I run the ground stap to the frame then ran the battery cable up the inside of the channel and attached it with those rubber coated cable mounts.