Assuming that's about 5x5', and going by the price of the first tungsten cube found on Google, this would be worth about 15 million dollars. Decent prize of you could move 150,000lb.
Welcome to another exciting episode of CAN! YOU! FENCE THIS?!?!*
Alright contestants, this week your prize is: 600 tons of wood chips! Whoever earns the most money selling your prize will be our lucky winner and move on to round 2.
Reminds me of an impromptu back and forth prank a set of brothers used to pull on each other where they regifted each other a pair of hideous moleskin pants in increasingly elaborate ways.
Going with your 5' x 5' x 5' size, that should weigh about 132,624 pounds, or about 66.3 tons. The price, as of 2018, was about $30,000/ton. That works out to be about $2M.
The 5' cube is 1000 times the size of the 6" cube and the 6" cube is $15k. The prices don't scale up linearly though. The smaller cubes are better value by weight.
Unless there is some clause talking about time to receive or "only the participant", then I would sell this thing at a fraction of the price and frolic into the sunset. Let someone else deal with the logistics, I just made an easy Mil.
I'm betting I got it a few months before someone can gather the equipment to steal it. It would have outlived its novelty and likely be a burden at that point. If the cult works out The Cube should be self sufficient and could even become a profitable local attraction.
One must simply gaze upon the glory of The Cube. The Cube will invite you in, keep you warm, keep you safe. The Cube welcomes all. The Cube just wants to share.
This could possibly be the worst possible prize. Raw tungsten isn’t actually that expensive. What’s expensive is working with it as it melts 3,410c (6,170f) isn’t very malleable and is heavy like really really heavy to move this block you will probably need larger equipment than standard industrial moving equipment, bigger trucks and loaders also you’ll need to get the city's permission to haul it on the roads , that alone is probably going to cost more than the cube is worth you will then have to pay a monthly storage fee until someone wants to buy it. Shouldn’t be that long right? It’s a valuable metal… well good luck finding a company that works with tungsten outside of china, and you absolutely can not ship it. But let’s assume you find someone who wants it(at a considerable discount) well now you have to higher the specialized movers again.
EDIT:
Actually I just did the math and plugged in all the known values I could find and assuming you could sell it within the first year you could probably make $700,000, so it would still be well worth it. But a lot of trouble.
Then good news you can buy it! But you’ll have to commission it’s very specialized construction, and pay to have it shipped across seas… you know that thing I said you absolutely could not do, well with money all things are possible.
Rocket nozzles are commonly made of tungsten, there are more than a few manufacturers in the US. Drill bits can be made of tungsten carbide. Armor piercing weapons use tungsten too. All of these have industries in the US.
Drill bits are coated in tungsten carbide. Sometimes. There are a variety of coatings.
The drill bits you're buying at the big box store are high speed still with some kind of coating to help them last a little longer. The specialty drill bits you're buying for working on metal are also HSS with a different coating and probably different tip geometry.
End mills are milling/lathe inserts can be HSS or carbide, also with some tungsten coating. Importantly, these are sintered, and made out of dust.
Tungsten carbide is waaaay too brittle to work as a drill bit.
I really wanted to use Tungsten as the base ballast for a custom narrowboat, for better headroom. Other than the cost you also have the problem of tungsten’s melting point being so high you can’t pour it into a boat hull without melting through.
Possible but the expense ruined my plans in the end… I did consider collecting broken tungsten end mills and inserts from machine shops and throwing them in molten lead, like croutons in a lead soup.
I mean if you get it in bulk it might be cheaper... but at the same time that would probably be really hard to make and take a major portion of the tungsten supply to make.
My immediate response was to do the same calc. But using SI units, because I don't live in Myanmar or the USA.
I figure that it's a cube, and judging by the size of the lucky winner, I would guess that the sides are 1.5m. 3.375m^3 at 19.254 g/cm^3 is roughly 65 tons. According to https://www.metal.com/Tungsten/202212260004 tungsten bars are trading for 49USD/kg. IDK where you got 340 USD/ton, but we seem to differ.
65 tons at 49 USD/kg is 3'185'000 USD.
I'd say that a solid homogeneous of tungsten should probably fetch a fair bit more than my price. Casting a cube like that is not going to be easy. Tungsten is rather reactive in the molten form, and has to be kept from air. Just alone keeping 65 tons of molten tungsten under a protective layer of inergen gas is going to be challenging.
No idea why the difference in price. I checked again and it still shows $340/ton on a UK site, another shows $335/ton, some higher for powders or carbide, some way lower for scrap.
I was remembering it wrong. Oops. In chemistry class, we had a professor who put a cube of some material into water and it skidded along the surface making very angry noises. Can't remember which element that was.
Just to be a troublemaker, everyone is assuming this a solid cube, but what if it was something like 1/4 inch tungsten plates and hollow in the middle?
I just looked it up; assuming that thing's about 5ft³, that thing is worth like $54,000. Granted, you're going to need somebody to come haul it off, but at 10.66k per cubic foot, I'd say it's not a bad prize.