Initialize a priority queue (min-heap) to store cell information (height, row, column).
Add all boundary cells to the priority queue and mark them as visited.
Initialize a result variable to 0 to store the total volume of trapped water.
While the priority queue is not empty:
a. Pop the cell with the lowest height from the priority queue.
b. Check all unvisited neighbors of the current cell.
c. If a neighbor can trap water (its height is less than the current cell's height), add the trapped water volume to the result.
d. Add the neighbor to the priority queue with a height equal to the maximum of its own height and the current cell's height.
e. Mark the neighbor as visited.