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.
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.
Still a pretty heft prize.
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.
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.
https://drillbitsusa.com/product-category/solid-carbide-drill-bits/
You don’t use solid carbide drill bits with a hand drill but with mills and cnc machines.
Spoken like a true tungsten connoisseur.
The company I worked for made tungsten nozzles, they had to be welded using atomic hydrogen welding. One day a bottle of hydrogen shows up and receiving rejected it, we had the supplier label it protium and it went right through.
I wonder if there’s a foundry in the world with a crucible that can hold, melt, and pour that much tungsten? To make a 5 foot solid cube.
Then imagine trying to machine the damn thing square.