Bigger ones can for sure pop the lid. I had this happen everyday with my pastel female. I recommend getting tubs from the container store. I will post a link for you. The prices are comparable to Walmart and I find they are made of a more durable material. The lids also seem to stay on better. I use a rack without the lids.
Also I noticed for some reason they are easier to clean. If poop gets on the tub it comes right off where it stuck for some reason to the Walmart tubs. My Walmart tubs also melted on my heat tape occasionally where these do not.
http://www.containerstore.com/shop/s...001753&N=71227
Let me know if you have any questions.