Calculating Smaugs Treasure
Toller Artikel auf Forbes darüber, wie sie den Wert des Schatzes von Smaug, dem Drachen aus „The Hobbit“, ausgerechnet haben. Nerd-Gold, im wahrsten Sinne des Wortes.
The book describes Smaug as “vast,” “centuries-old” and of a “red-golden color.” According to the Advanced Dungeons & Dragons’ site The Hypertext d20 SRD a true-dragon of that age and color measures around 64 feet from snout to tail. However, a great deal of that length is likely tail. By way of reference, Komodo Dragons are 70% tail by length, so we can estimate Smaug’s body to be approximately 19.2 feet long.
Dragons are long and narrow, so we can safely assume that Smaug can curl comfortably up on a treasure mound with same diameter as his body length – 19.2 feet.
How high is the mound? Well, at one point in The Hobbit, Bilbo climbs up and over the mound, and we know that Hobbits are approximately three feet tall. Assuming the mound is twice the height of Bilbo, we can say that the mound has a height of approximately 6 feet – like a six foot tall man climbing over a 12 foot mound of coins; substantial but not insurmountable.
To keep the math relatively simple and to avoid complications like integrating the partial volume of a sphere, we can approximate Smaug’s bed of gold and silver to be a cone, with a radius of 9.6 feet (1/2 the diameter) and a height of 7 feet (assuming the weight of the dragon will smush down the point of the cone by about a foot).
Now we can calculate the volume of Smaug’s treasure mound:
V= 1/3 π r2 h = 1/3 * π * 9.62 * 7 = 675.6 cubic feet