Final answer:
Typically, you would record one mass for each piece of glassware on a top-loading balance since it directly provides a digital measurement.
Step-by-step explanation:
When recording the mass of a piece of glassware on a top-loading balance, you would typically record one mass. This is because a top-loading balance will give you a direct digital readout of the mass of the object placed on it. Unlike the double-pan mechanical balance where you may have to balance multiple known masses to find the mass of the unknown object, a digital scale simplifies this process, and thereby only one mass measurement is necessary, providing a precise value up to the nearest thousandth of a gram in many cases.