Look wk's house size and power consumption is well above average so that is why that pack looks large. My 2.5kWh pack house size and power consumption is on the other end of extreme My battery pack is about the same size as the inverter and about the volume of a desktop computer. And I use LiFePO4 so about 2x lower in energy density than Tesla cells still 3x higher energy density than Lead Acid.
I chose LiFePO4 since I was interested in reliability satiety and cost of storing energy. Tesla batteries where not available when I made the investment about 3 years ago but I will still use LiFePO4 today is not just a small difference the life cycle for LiFePO4 is a few times higher.
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You have a house that is above average in both size and energy consumption. The volume used by those batteries as rapport to the house size in nothing. I'm sure on the other extreme with my set-up and 2.5kWh battery and average will be somewhere in the middle.
New LiFePO4 can be had at about 300 to 400$/kWh of storage capacity not sure how that is an order of magnitude. And that cost is not important you need to consider how much energy you can store during the life of the battery.
Look at this
http://download.solarshop.net/english/uploads/FS-UK-Sony-Storage-system-data-sheet-10-08-2012.pdf Sony LiFePO4 datasheet (their complete solution is a bit expensive but nice) see the last page 6000 cycles of 100% DOD that is more than an order of magnitude compare to spec on the NCR with just 300 cycles the NCA will probably be very close to NCR but if you have a dtasheet for the NCA with cycle life I will love to see.