i would say the most accurate is to subtract surfaces within GIS
BUT
HEC-RAS tellls you the volume left in the system in the “View Computation Log” in the plan editor under options. This is how mass balance is checked but also tells you a volumetric sum
If you are intereseted in calculating a volume entering a specfic area you can create a dummy weir for which you set the elevation to the ground level, set a weir coefficient to 0.2-0.5 and once its done running just plot it. You can also draw a profile line and calculate the volume accumulation if you have the patience to wait for it to calculate which always equals or exceeds your model calculation time.