If a 190 mg piece of gold (density =19.32 g/cm^3) is hammered into a sheet measuring 2.3 x 1.0 ft, what is the average thickness of the sheet in meters?

Is that 2.3 feet by 1.0 foot? I would convert those feet measurements to cm.

mass = volume x density and rearrange to
volume = mass/density. Then mass(in g)/density(in g/cc) = volume is cc (cubic centimeters).
Volume = length x width x height(thickness). You know length and width and volume, which leaves only thickness as an unknown. The unit will be cm, convert that to m.