No, assuming that the suitcase can be no bigger then 25ft3(Which is massive 5x5x5 ft) then 1 million USD in $1 bills will not fit. The volume of 1 million $1 bills stacked neatly would have a volume of 39.88ft3.
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The US dollar bill is 2.6" by 6.1". So in terms of width, 20.5/6.1 = 3.36 dollar bills can fit along one side of the wall. In terms of height, 37/2.6 = 14.23 dollar bills can fit along the other side of the wall. I'm rounding up to 4 dollar bills in width and 15 for height (some will need to be cut). So for the whole area, 4*15 = 60 dollar bills total.
5 gallons worth
Oh, dude, you're really asking the hard-hitting questions here. So, like, if we're talking about a standard shoe box, it can fit around 2,000 one-dollar bills. But, like, who's really counting that, right? Just stuff your shoe box with cash and call it a day.
"A dollar is a unit of currency. An inch is a unit of length. The two units are therefore incompatible." Actually, yes they are. If you find the thickness of a dollar, you can find how many fit in 1 inch. There are about 233 dollar bills in one inch
The diagonal distance of the suitcase is: square root (902 + 652 + 302) = square root (8100 + 4225 + 900) = square root (13225) = 115 cm So, it would not fit.