Instruction: Extract information from the supporting document to answer the given question.

Input:
Question: how flimsy is the polyester cover.  Would I need to get a futon cover for these?  I was thinking about dying the cover
Document: This allows me to do what I want and still get the sleep I need. I'm thinking we will need another for my hubby. If he decides he wants one, this is the one I'll get!
It is pretty firm, but fine for what I need, and the cover is quite nice. Well worth the money, and cheaper even with shipping than even getting a piece of foam cut locally.
This mat would be fine for light use, say a napping infant. But after nearly a week of letting it expand, it's barely 3&#34; thick. You can definitely feel the floor beneath. But the smell that others have noted does dissipate after a few days.It won't work for what I need. Happily, Amazon was super in processing the return. Go Amazon!
I got this for a fold up bed in my tiny living space. It was hard to get used to after 8" air mattresses, but now I like it very much. The cover has zippers, which I like for keeping it clean and a firmish underside that keeps the mattress from oozing through the wire bed frame. I was happy to discover that the folded mattress fits perfectly into a large lawn chair carry bag, making day storage super easy.
Well, we have had it in use  for a month now. The cover almost immediatly tore along a seam. I wasn't happy about that. This would be fine for children on the floor but it is a bit thin, we eneded up having to put a pad under it for us. We have a uber small apartment and thought that two of these would store up nicely during the day and double as a couch.
Pros:  Foam layers make it comfortable, don't bottom out.Nice removable cover.Twin sheet fits fine.Cons:  A little on the heavy side which real latex is but makes it harder to move. (See below)Doesn't have a storage cover with handles which would have made it a lot easier maneuver and store.No a true 4&#34; even after opening & non use for 3 days. (I think the covering prevents it from expanding.
I tried sleeping on this mat and it wasn't comfortable enough by itself. Perhaps on a bed frame, it would be better, but on the floor, it's a bit too rough on the shoulders.Still, it's a great item for a guest bed assuming you put a bit more money in to get a mattress topper.
This was exactly what I was looking for. This mattress is extremely comfortable and is a perfect replacement for my old traditional twin mattress while I move and save up to get a larger bed. I would highly recommend this to anyone looking for a temporary mattress or even something more permanent.
If you want them for kids and fold em up during the day , they would be tops, but the heavier adults, I don't think you want to do that unless you like sleeping in a sleeping bag on a camp mat, that is about the equivalent to these after about an hour. I would not repurchase as I think I can laminate some foam and get the same results.
If you don't want to &#34;feel&#34; the floor, then you've gotta get a 4&#34; mattress. Kind of bulky, but the folding aspect of the bed makes storage a bit easier. I purchased the twin and would be afraid of anything larger due to the weight. Nice bed though.
Answer: The cover is not flimsy and it is removable so you can unzip it and put it to wash. I use twin sheet sets on it and it works just as fine. I'm not sure if a futon cover would work. Good luck.