In the case of plastics, it’s said that some types can be manufactured in a way that allows for usage in a microwave oven. Styrofoam is a type of plastic which is argued to be among those that are not normally microwave-safe, but that can be manufactured for microwave use as well. read more
What I've read from searching is that you can microwave styrofoam, as long as the food doesn't get hot enough to melt the styrofoam, but microwave heat itself shouldn't melt it. I think that sounds about right. read more
While you can put styrofoam containers in the microwave, the heat of it’s contents could melt the container and destroy your meal. Polystyrene (and most high molecular weight polymers) are in no way soluble in water, and even if 50 per cent of your cup were to melt, you will not be absorbing any appreciable amount through the water in your cup. read more