US nickels are 1.95 mm thick. A US inch is 25.4 mm so you would need 25.4 / 1.95 = 13 coins.
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5.1 nickels.
It depends whether you're putting them side by side or stacking them. Side by side won't work very well because US nickels are 21.2 mm in diameter but an inch is 25.4 mm. If you stack them, the answer is almost exactly 13. Each nickel is 1.95 mm thick so there would be 25.4 / 1.95 = 13.03 coins in an inch. No one will miss that 0.03 of a nickel if the answer is rounded.
1303 Nickels stacked up would be roughly 100 inches. A nickel is 1.95mm thick which is 0.07677165 inches thick.
A one-inch stack would contain about 233 bills.
Assume that nickels are measured in diameter, and we want to form the certain number of nickels to form an inch. Let the diameter of the nickel be 22 millimeters, which is 2.2 centimeters. Note that 1 inch = 2.54 centimeters. Then, there is no definite number of nickels that exactly form an inch since: 2.54 centimeters * 1 nickel / 2.2 centimeters = 1.15... nickels [and we obtain the "incomplete" nickel to form an inch]!