The mistake stems from calling a cube that is 25 feet on a side a ""25 cubic foot room"".
While all-time platinum production estimates vary widely, backing into a guesstimate using the roughly
7 million ounces mined annually, and extrapolating that out over the past 100 years (admittedly, a very gross guessing tool) you'd get a total of 700,000,000 ounces produced all-time.
Platinum's specific gravity is 21.45, which means that one cubic foot of platinum would weigh 21.45 times as much as one cubic foot of water.
Water weighs 62.4 pounds per cubic foot, therefore platinum weighs about 1338 pounds per cubic foot, which rounds out to 21416 ounces per cubic foot.
Plug that in to the 700,000,000 ounces we guesstimated was the all-time production of platinum above, and you get 32686 cubic feet, or a cube that's just a tick under 32 feet on a side.
And how this thread ended up here from the pics posted is a bigger mystery than how much platinum has ever been mined, that's for sure!
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