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You can get a stack of pennies, measure the height of the stack and then divide by the number of pennies. You can also get the thickness by treating the penny as a cylinder, calculating the area of the face of the penny, then putting a whole lot of them in water, measuring the change of volume to get the total volume of all pennies, then divide by the number of pennies and divide again by the area of the penny to get the thickness.

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