You can install World Edit and select the region and get a block count of the selected blocks that you want to measure.
You can also do this with a few command blocks. If you were to execute a command in a command block with trackoutput enabled (the x/o button) you can see what the command did.
You could use the command: /fill x1 y1 z1 x2 y2 z2 minecraft:air 0 replace minecraft:blockname -1
If you run this command and set the coordinates to the house's location and know the block name and data value, you could easily count blocks. The line below the command should say how many blocks it replaced. Just be sure to load a backup of the world since you are replacing blocks with air.
The method might be outdated since I haven't touched on this topic for some time, but that's how I recall some methods of achieving your desired goal.
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"Actions should not be followed by regret. Regret should not be followed by remorse. Why do it, when you'll only feel bad in the end?" - SilentHunterX