Protect your latex mattress from damage by storing it properly. As with any type of mattress, it's important to wrap the mattress in heavy-duty plastic or use a mattress storage bag. Latex mattresses are denser than most other mattress types and therefore heavier. So it's important to avoid storing the mattress on its side, which can lead to the weight deforming the shape of the mattress. Place the latex mattress flat in your storage space. You should also avoid stacking anything on top of the mattress, which can cause indentations and sagging over time.