Method of forming a container having a rolled rim, including providing a thermoformable sheet, and thermoforming the sheet to form a hollow body. The hollow body has an open first end and an opposite closed second end with a sidewall extending between the first end and the second end, and a rim structure formed at the first end of the hollow body. The rim structure includes an inner wall portion, a flange, and a skirt. The method further includes coining an upper section of the inner wall portion of the rim to form a controlled inner diameter, and rolling the rim structure to form a rigid rolled rim along an outer diameter of the open first end of the hollow body, the skirt extending toward the sidewall after being rolled.