Incidentally, you make reference to mainframes being "like" rackmount servers... actually the comparison is more direct than you might first imagine. The format of 19-inch communications and server (etc) rackmount frames is pretty much exactly the same as that of, particularly, IBM mainframes and/or DEC minicomputers. I can't remember if it's a direct heritage or just convergent evolution, but in either case it's the same environmental limitations that moulded them - to whit, they have to be able to fit through a standard doorway without getting stuck or damage being caused to equipment or building fabric, even if that may mean temporarily taking the door off its hinges. And it also needs to get around tight corners in corridors, stairwells, etc whilst in transit to the target room and being turned to fit through the door. But at the same time you want to have the maximum amount of useful space within each frame to minimise the floor area taken up by it, to maximise the amount of tech you can cram inside each box, and minimise the number of boxes and thus the building and shipping costs. So the format quite rapidly converges on the largest rectangular box that will fit through doorways and can be moved easily through buildings made to a common human scale. I think at one point it was even commonly called IBM Frame Size. But in general it's about 24 inches wide, a shade under 7ft high, and about 30 inches deep...