Author, D. Denise Dianaty
1 min readOct 28, 2023

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LOL — Well, I have a box about that size that holds six rolls of quarters comfortably. Each roll is worth $10. That's $60 dollars worth of quarters. I'd guess a jumble of various coins would fill the space less efficiently, though. I'm going to guess $45.

Interestingly, I found this formula which helped me not one little bit:

For a quarter, the diameter is 24.26 mm and the thickness is 1.75 mm. For a dime, the diameter is 17.91 mm and the thickness is 1.35 mm.

The volume of each of the coins can be calculated by approximating the coins as cylinders without ridged edges (which is fair since they both do have ridges). Volume of a cylinder = cross sectional area x height = pi x radius2 x height. For the quarter, volume = pi x (24.26/2)2 x 1.75 = 809 mm3. For the dime, volume = pi x (17.91/2)2 x 1.35 = 340 mm 3.

Dividing the volume of the quarter by the volume of the dime gives a ratio of 2.38. So the quarter takes up 2.38 times as much space as the dime. Since the quarter is worth 2.5 times more than a dime, but only takes up 2.38 times as much space, the quarter yields a greater amount of money per space than the dime, by a factor of 0.12 greater.

The jar filled with dimes will be worth approximately equal to the jar filled with quarters.

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Author, D. Denise Dianaty
Author, D. Denise Dianaty

Written by Author, D. Denise Dianaty

Artist, Poet, author, wife & mom May my epitaph be "She reflected love into the world."

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