People sometimes get confused on what to call that metal thingy that automobile tires are mounted on.
Well, let's settle that now with a little history. Looking at the photo below, the spare looks different than the tire touching the ground. even though both are mounted and are aired up.  The spare tire is mounted on a "Rim". The tire on the ground is also mounted on a "Rim", but the "Rim" is also mounted on a "Wheel". Now are you really confused? This type "Wheel" consist of a center metal hub bolted to wooden spokes surrounded by a metal ring. The "Rim" is bolted to the ring using nuts with a spacer / washer devise called a "Lug".

So, in conclusion, the rim below is not a wheel, and the wheel is not a rim, but present day cars and light duty trucks used wheels that can be called wheels or rims, as both items became one.