According to the US Mint, the quarter dollar is 1.75mm thick.
1.75mm x 1cm/10mm = 0.175cm
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0.175cm x 1in/2.54cm = 0.0689in
1in/0.0689in = 14.5 quarters to make a stack 1 in high
Obviously you can't stack 14.5 quarters. 15 quarters makes a stack 1.03in high. 14 quarters make a stack 0.965in high.
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A U.S. minted 0.25 cent piece is 1/16th of an inch thick. So 16.
You'd need about 233 one-dollar bills.
The British One Pound coin is 3.15mm thick, so 317 or 318 coins should make a metre high stack.
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