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Not on the floor! The airflow is messy there and you'll clog your filter up with dirt in no time. Use a side duct, that's what race cars do for cooling. You can open up the rear of the engine bay to a hole through the bumper and that will help suck air through side vents that you can duct to intercoolers and radiators.
I would cut NACA ducts into the side of the car, run a shroud that expands in area slowing the flow for when it hits the intercooler, and pipe the engine intakes into a hole cut somewhere ahead of the intercooler in the shroud. Ultimately, the engine doesn't ingest nearly as much air as is flowing around the car, so this should be okay. Then preferably have ducting to exhaust the intercoolers into the wake.
What chassis are you using?
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