I would not remove the bottom rim, since the tank is designed so it sits on the plastic rim and not the bottom glass. I once removed the top rim on a 15 gallon high tank - same footprint, but taller tank. It worked fine, but I never completely filled it with water. What it will look like depends on the manufacturer of the tank, and the care taken when it was assembled. It can look good, or bad (sharp edges, not so straight, with the panels not well aligned). And, the glass on a 10 gallon is much thinner than on that 15 gallon tank.