The box was used to transport something  Made in Denmark that needed to be stored at 38 degrees F.  So I am guessing that it was not used for Royal Copenhagen's Porcelain of that name.  This leaves us with a culture of bacilli for cheesemaking also named Flora Danica.  I found this box at anauction in central Wisconsin in an area of Dairy farms so....

14& 1/2 x 8&3/4  x 8 in tall