My budget was $15 but I made it in less than 10 (at time of building)! I should probably use the rest to make the land situation better.
Also: obviously this is going to cost much more than 10 dollars. It came out to about $25 when I used tcgplayer's "order optimizer." That's what you get when you buy a bunch of individual 5 cent or less cards.
In addition, due to shifting card prices, the overall cost of the cube will probably increase over time.