To get accurate soil volume you would need the bulk density of soil. This can be then extrapolated to find the soil volume on per hectare basis for a particular soil depth.
The depth of the soil is usually defined on the soil above the leaching layer. This differ quite some between areas, and is dependent on the amount of precipitation in one area. A couple of drill samples should be enough to tell how much you might have. With your research interest I guess you rather will need the amount of soil that is turned during plowing which depend on technique and need for the crop.
The mass of soil per ha vary from soil to soil depending upon the bulk density (BD) and depth of soil. From Area x depth you can fine the volume of soil and then by V * BD you can find the mass of the soil per ha. Generally, 1 ha soil with 15 cm depth is equal to 2 million kgs.