The invention is directed to a toy container having an integrated extruder for extruding a quantity of a deformable molding compound. The toy may include a container having a storage portion configured to receive and store components of a molding compound extrusion set, and an extruder portion having an extrusion opening and a receiving chamber configured to receive a quantity of the modeling compound. The toy may further include a lid moveably attached to the container and moveable between an open position and a closed position. The lid may have a plunger extending therefrom, and the receiving chamber may be configured to receive the plunger when the lid moves from the open position to the closed position. The plunger may engage a quantity of modeling compound disposed in the receiving chamber to force the modeling compound through the extruder opening as the lid moves from the open position to the closed position.