From the article linked below:
If you took all the trash that the United States would generate in 100 years and piled it up in the shape of the Great Pyramid, it would be about 32 times bigger. So the base of this trash pyramid would be about 4.5 miles by 4.5 miles, and the pyramid would rise almost 3 miles high.
That's a big landfill but its just not true that its unsustainable. That's ignoring all the advancements we'll make over the 100 years to harvest that garbage or further increase efficiency of landfills.
https://science.howstuffworks.com/environmental/green-scienc...