The short version on Residential Dumpster Rental: it is household-scale containers chosen to fit a domestic driveway without wrecking it. The question that decides the quote is whether the hauler already knows that protecting the driveway and satisfying the placement rules matter more here than squeezing out extra capacity.
Yardage tells you how much room the container has. It tells you nothing about how much of that room you're actually allowed to fill with something heavy. This request comes from homeowners more than any other caller, and the volume they generate is the reason 10 or 15 or 20 yard containers are the ones kept in ready supply for it. Have an answer ready for two things: how long the container sits on the property, and whether the load includes anything that isn't allowed in it.
Furniture, boxes and old fixtures take up room without weighing much, so volume decides the size here, not a hauler's weight chart. Confirm the rental period starts at delivery, not at first use, since a container that sits empty for two days still counts against the clock. The size on the container door is a legal limit, not a suggestion. Treat the fill line as the actual boundary when you decide what goes in first.