A fully three-dimensional model for the motion andbending of a solitary ice floe due to wave forcing is presented. This allowsthe scattering and wave- induced force for a realistic ice floe to be calculated.These are required to model wave scattering and wave-induced ice drift inthe marginal ice zone. The ice floe is modeled as a thin plate, and its motionis expanded in the thin plate modes of vibration. The modes are substitutedinto the integral equation for the water. This gives a linear system of equationsfor the coefficients used to expand the ice floe motion. Solutions are presentedfor the ice floe displacement, the scattered energy, and the time-averagedforce for a range of ice floe geometries and wave periods. It is found thatice floe stiffness is the most important factor in determining ice floe motion,scattering, and force. However, above a critical value of stiffness the floegeometry also influences the scattering and force.