I need to calculate removed material volume on arcmap 10.2. I have a present-day dem and a very large and irregular polygonal shapefile that is the area in which I have to calculate volume. How can I reconstruct the putative earlier topography and make the difference between the two in order to estimate the volume of the removed material?
You could clip your DEM using the polygon and the Extract by Mask. Then use the surface volume tool to calculate the volume. Keep in mind that the polygon and the DEM will need to share a common coordinate system before clipping.