Average U.S. construction prices per square foot for apartment buildings start at $130 per square foot, depending on location and material/fixture quality. New York is the most expensive at $230 per square foot.
So at 36 square feet, this dumpster home would end up at what... $270 per square foot? That's way more expensive than an actual apartment building, and that's before appliances and shared spaces such as bathrooms/laundry rooms/kitchens, not to mention the shipment costs which have got to be significant.