The purpose of this exhibit is to demonstrate the principals of stability of objects of various shapes floating in a liquid. The concepts would be demonstrated as the child interacts with the exhibit. In doing so, he/she would feel the stability of various shaped objects by standing and balancing on them.
The actual exhibit would be a set of booths. Each booth would contain an object/shape for the child to stand on. The shape would be floating in a liquid, probably water. The booth would be set up so that the object is flat on the surface when no one is standing on it, but when a person tries to stand on it, it would be difficult to keep it level, and remain balanced. The structure of the exhibit would be a row of booths, each containing a different shape, and thus a different difficulty for keeping balance.
The bottom of the booths should be clear and possibly made of Plexiglas so that the child could view the shape and see it floating in the liquid. The booth would be narrow enough so tha if the object were to tip, it would only tilt a few degrees before contacting the side walls, and thus preventing people from falling over into the water. There could be handrails for safety purposes, and also the standing surface of the box would have to have a sticky or rough surface to avoid slippage. In addition, the walls of the booth would probably be well padded for safety.
There are many advantages of this exhibit. The most attractive feature of this idea is that it is entirely interactive. In essence, the child would become a part of it. It would also be enjoyable while also demonstrating the buoyancy to a degree.
The Stability Booth exhibit would also pose some disadvantage as well. Safety would be a primary concern. Thus, the exhibit would have to be constructed so that there was no risk of someone falling, getting a hand or a foot caught or pinched, or some other accident.