Ok, some nerd can double check this
How many pieces per unit volume in the current Death Star model?
3,800 pieces in the Death Star
16cm diameter
volume of sphere = 4/3 pi r^3 = 4/3 pi 8^3 = 2144 cm^3
3800 pieces / 2144 cm^3 = 1.77 pieces / cm^3 in the Death Star Model
Ok, so how many cm^3 in the scale model?
12,000 ft = 365,760 cm
Volume of scale model = 4/3 pi 182,880^3 = 25,620,479,201,161,835 cm^3
How many pieces in the scale model?
1.77 pices / cm^3 * 25,620,479,201,161,835 cm^3 = 45,348,248,186,056,488 pieces in the scale model.
(45 quadrillion <-- using US naming convention)
How much would that cost?
Original toy = $400 / 3800 pieces = $.105 / piece
Scale model = $.105 / piece * 45,348,248,186,056,488 pieces = $4,761,566,059,535,927 (almost $5 quadrillion)