how many 5 gallon water jugs would it take to hold 1 million pennies?

Question

NOT a million dollars worth, just a million pennies.

Answer 1

VOLUME = 360 cubic millimeters = .360 cubic centimeters.

1 US gallon = 3.7854118 litre

5 gallons=5*3.7854118*1000cc
no of pennies=5*3785.4118/0.360
=52576 pennies
52576 pennies=1jug
1000000 pennies=19jugs

Answer 2

A penny has a mass of 3.1 grams, so 60,000 pennies has a mass of 186,600 grams or 186 Kg or 409 pounds. That seems way to high for a 5 gallon jug full of pennies. The previous answers' explanation assumes that there is no space between pennies, not a good assumption, but the answer is no either way.

Answer 3

I'll assume we're talking about US coins (Lincoln cents) and US gallons (namely Winchester gallons of exactly 231 cubic inches, which are very different from Imperial gallons)...

We'll consider pennies to be perfect cylinders. Packing identical solids as densely as possible is a notoriously difficult problem (only recently solved for spheres). For circular cylinders, we may guess that the solution involves optimal 2D layers (not necessarily aligned with each other). Alternately, unlayered stacks of cylinders arranged next to each other in this 2D hexagonal pattern fill 3D space with the same density. Denser packings do not seem possible, altough we lack a rigorous proof of this "obvious" fact. This is how we may estimate the highest number of pennies per gallon in large containers...

In the aforementioned packing, each coin occupies (without voids or overlaps) the volume of a regular hexagon of the same thickness circumscribed to it. The top surface area is ½√3 times the square of the coin's diameter. As there are exactly 25.4 mm to the inch, and using the dimensions of the penny from the U.S. Mint website (diameter 0.75", thickness 1.55mm), we get:

V = ½√3 (0.75)² (1.55/25.4) = 0.029727 cu in

231 cu. in / 0.029727 cu. in. ≈ 7771 pennies per gallon.

Using a value of 7771 pennies per U.S. gallon, I come out with:

1000000 / (7771 * 5) = 25.7367134

In other words about 26 of the 5-gallon water jugs.

All this, of course, is for the ideal densest possible packing... In practice, your mileage may vary.

Note: I have 26 of the 5-gallon jugs available, so if you'd like to send me those 1,000,000 pennies, I'll test my theory. :-)

Answer 4

it would take a gazillion quarters to fill up a jug of pennies equal to the pennies of the nickels times the dimes to the 14th.

understand that??

get familiar

think about it

thekidfrombrooklyn.com

Answer 5

idk, thats alot