It will but I think there is a better way.
Cut a rectangle out of the floor of the cage this is 2" longer and wider than the size of the heat tape you will be using. Keep this cutout at least 2" away from the walls of the cage so the floor maintains its structural integrity.
Route a groove from the cutout to the back or side of the cage. This groove should be deep enough for the wires that will run to the heat tape.
Cover the entire floor with a 4x2 piece of Sintra or other sign board. In most cases 1/8" is thick enough but 1/4" might be a bit better. Silicone the edges where it meets the cage walls.
Use an aluminum tape with the appropriate rating to attache the heat tape to the underside of the plastic floor.
I like this method as Sintra conducts heat well and it offers a more durable and easier to clean floor. It also provides an air space to the heat tape.
You can even build the cages without a wooden floor and just attach the Sintra right to the bottom of the cage, not unlike the thin backs you attach to modular bookshelves. This saves money and weight and allows you to replace the floor when needed.
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Current snakes:
0.0.1 Gonyosoma oxycephala - Java locale (green)
0.2 Gonyosoma oxycephala - Malaysian locale (green)
1.2 Gonyosoma oxycephala - Java local (green)
2.2 Gonyosoma janseni - Seleyar locale (all black)
1.2 Gonyosoma janseni - Celebes locale (Black & Tan)