10PTS! Does induced EMF depend on volume?

If I place a thin sheet in a uniform magnetic field so that the flux is at normal incidence to the sheet, would I get a larger EMF if I placed a thicker sheet into the field? I ask because the only equation I can find to calculate EMF is that it is equal to -1*d(flux)/dt and this has no dependance on volume, only the area of the sheet. What do you think?