A hose feeds into a small screen box of volume \(10 \mathrm{~cm}^{3}\) that is suspended in a swimming pool. Water flows across the surface of the box at a rate of \(12 \mathrm{~cm}^{3} / \mathrm{s}\). Estimate \(\operatorname{div}(\mathbf{v})(P)\), where \(\mathbf{v}\) is the velocity field of the water in the pool and \(P\) is the center of the box. What are the units of \(\operatorname{div}(\mathbf{v})(P)\) ?