This can't be made as a layer cake in two pans, unless you want a really, really thin cake. (backforseconds.com)
An 8 - inch round will be slightly taller than the 8 - inch square called for, but it's also a very thin cake so the extra thickness will not be a bad thing. (smittenkitchen.com)
PS — my wife, Fay, provided a good tip for cutting thin cakes which is to wrap thread around the circumference of the cake at the desired cut level, cross the thread ends over and then pull the thread taught until it cuts through to the center. (whatwouldcathyeat.com)