Industrial noise can be successfully mitigated with the combined use of passive and active noise control (ANC) strategies. In a noisy area, a practical solution for noise attenuation may include both the use of baffles and ANC. When the operator is required to stay in movement in a delimited spatial area, conventional ANC is usually not able to adequately cancel the noise over the whole area. Control strategies need to be devised to achieve acceptable spatial coverage. A three-dimensional vibration-acoustic model is proposed in this paper. The signal of an accelerometer attached to the bulk of a centrifugal pump installed in an empty room was used as the input of this model. The signal of a microphone that changes its position in a spatial grid inside this room is the output. In the first stage, the ARX models are used to describe a SISO system where the input is the machine vibration and the output is the noise level measured at a certain point. In the second stage, spatial interpolation is used to estimate the model parameters. Results show good agreement between experimental data and model predictions, indicating the potential of using the model for the design of ANC.