Hi frisbeewife,
Yes there would be 6 pieces of latex in the mattress (3 on each side). There is more about split layering in post #2 here.
Handling latex can be somewhat tricky because it’s so elastic and “floppy” and can be bunched inside the cover and will also tend to “stick” to the layer below it. The trick is to lift the layers and wave or flick them into position and avoid pulling or tugging which can rip the latex and can leave it sitting unevenly in the cover. There are some videos in post #12 here that will give you a good sense of what’s involved in assembling a component latex mattress and once you get the hang of it it’s much easier and relatively simple.
Phoenix