1. Cavalieri's Principle is most closely hinged on which measurements?

it is closely hinged on the height, and "matching" equal areas everywhere along the height.

Step-by-step explanation:

Cavalieri's Principle states that If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal

This simply means that "if two solids have the same height, and "matching" equal areas everywhere along the height, the solids have the same volume."