How Many Quarters Fit In a Gallon Jug? (Answer, How Much Money In Dollars, and Conversion Calculator)
We have the answer if you’re wondering how many quarters would fit in a gallon jug. Assuming 75% packing efficiency, 3,509 quarters worth $877.25 would fit in a gallon water jug. In this article, we explain how to calculate how many quarters fill a gallon jug and what they’re worth. We also have a free online conversion calculator that will answer how many quarters a gallon jug holds or other container sizes.
Please continue reading to try our conversion calculator and learn how to make the conversion yourself.
Conversion Calculator: Convert 1 gallon jug to quarters
Our conversion calculator shows that 3,509 quarters worth $877.25 fit in 1 gallon jug. The same number of quarters will fit in a one gallon bucket, milk jug, or milk bottle.
To convert different container sizes, enter the container size in gallons. Our calculator will tell you how many quarters will fit into it.
Note: The packing efficiency, also called packing density or packing fraction, is the ratio of the volume occupied by the quarters compared to the volume of the container itself. It is impossible to achieve 100% packing efficiency in the case of cylinders with a low aspect ratio, such as quarters. Here we have chosen a packing efficiency of 75% (0.75), which is the highest practical efficiency you can achieve.
How much money is a gallon of quarters worth? ($877.25 dollars)
A gallon of quarters is worth $877.25.
How to calculate how many quarters fit in a gallon jug
In this section, we explain how to calculate how many quarters fit in a gallon jug and summarize what we found.
To summarize the answers found in the steps above, here is a list of the number of quarters that fit in a gallon jug plus other key variables:
Volume of the 1 gallon jug : 3785.411784 cubic centimeters
Volume of one quarter: 0.80893 cubic centimeters
Theoretical maximum number of quarters (perfect packing): 4,697
Value of the theoretical maximum number of quarters (perfect packing): $1,174.25
Actual packing efficiency: 75%
Number of quarters that fit in a 1 gallon jug: 3,509
Value of the number of quarters that fit in a 1 gallon jug: $877.25
To calculate the number of quarters that fit in a 1 gallon water jug, follow these steps:
Step 1: Calculate the volume of the jug (3785.411784 cubic centimeters)
A one gallon jug is a cylinder with a volume of 1 gallon, 3.78541 liters, 0.0037854118 cubic meters, 231 cubic inches, 3785.411784 cubic centimeters, or 3,785,411.784 cubic millimeters.
Step 2: Calculate the volume of 1 quarter (0.80893 cubic centimeters)
To find the volume, we used the fact that a quarter is a cylinder with a height of 1.75 mm and a diameter of 24.26 mm. The equation to find the volume of one quarter is the formula for a cylindrical container:
Volume = pi * radius² = pi * (24.26mm/2)² = pi * (12.13)² = 808.93 mm³=0.80893 cm³
Step 3: Divide the volume of the jug by the volume of a quarter to find the theoretical maximum number of quarters with perfect packing. Then round down to the nearest whole number. Note: Perfect packing is not achievable.
Number of quarters=3785.411784 cm³/0.80893 cm³=4,679.52948=4,697 quarters
Step 4: Find the dollar value of the theoretical maximum number of quarters with perfect packing
Value of the quarters=4,697 quarters * ($0.25/quarter)=$1,174.25
Step 5: Determine the packing efficiency of quarters (75%)
Packing efficiency, also referred to as the packing density or packing fraction, describes how well objects fit in a container. There is an inherent inefficiency in packing coins because they are small round cylinders with a low aspect ratio, which leads to a loss of volume to dead space. For this reason, it is impossible to achieve perfect packing.
For example, pennies have been experimentally shown to have a packing efficiency of 57%. In contrast, quarters have a higher packing efficiency than in the case of pennies. For this analysis, we will assume that quarters have a 75% packing efficiency.
Step 6: Multiply the perfectly packed number of quarters found in Step 3 by the 75% packing efficiency found in step 5 to find the number of quarters that will fit in a 1 gallon jug (3,509 quarters)
Number of quarters=3785.411784 cm³/0.80893 cm³)*75%=(3785.411784 cm³/0.80893 cm³)*(0.75)=3509.64711162=3,509 quarters
Step 7: Find the dollar value of the quarters ($877.25)
Value of the quarters=3,509 quarters * ($0.25/quarter)=$877.25
Following the math in the steps above, you can quickly calculate the number of quarters in a 5 gallon bucket full of coins (or other container sizes).
How much do 3,509 quarters weigh?
3,509 quarters, the number of quarters that fit in a 1 gallon water jug, weighs 43.8625 pounds (19.8957 kilograms).
What are the dimensions of a quarter?
A quarter is a coin that is worth one-fourth of a dollar. The dimensions of a quarter are 0.955 inches (24.26 mm) in diameter and 0.068 inches (1.75 mm) in thickness. There are also half-dollar coins and dollar coins, which have different dimensions.
How much does a quarter coin weigh?
All quarters made since 1965 weigh precisely 5.670 grams, which is equal to 0.2 ounces.
How much money is 1 quarter worth? (25 cents)
A quarter is a coin that is worth 25 cents or one-fourth of a dollar. The U.S. Mint began producing quarters in 1796, and they are still being made today.
How many quarters fit in a half-gallon jug?
1,754 quarters worth $438.50 fit in a half-gallon jug.
To solve the question yourself, input 0.5 gallons (half-gallon=0.5 gallons) into our conversion calculator at the top of the page. The calculator will tell you how many quarters are in a half-gallon jug and how much they’re worth.
How many quarters fit in a 2 gallon jug?
7,019 quarters worth $1,754.75 fit in a 2 gallon jug.
To calculate the answer yourself, enter 2 gallons into our conversion calculator. The calculator will give you the answer and tell you how much they’re worth in dollars.
How many quarters fit in a 3 gallon jug?
10,528 quarters worth $2,632 fit in a 3 gallon jug.
To find the answer yourself, type in 3 gallons into our conversion calculator at the beginning of the article.
How many quarters will fit in a 5 gallon water jug ?
17,548 quarters worth $4,387 will fit in a 5 gallon water jar.
If you want to find the answer to the question yourself, use the conversion calculator at the top of the page.
How much would a 5 gallon bucket of quarters be worth?
A 5 gallon bucket full of quarters is worth $4,387 because it contains 17,548 quarters.
How many quarters can you fit in a 55 gallon drum?
193,030 quarters worth $48,257.50 will fit in a 55-gallon drum.
To solve the question yourself, enter 55 gallons into our conversion calculator at the beginning of the article.
How many quarters will fit in a quart jar?
877 quarters worth $219.25 will fit in a quart jar.
To solve the question yourself, enter 0.25 gallons (1 quart=0.25 gallons) into our conversion calculator.
How many quarters fit in a pint jar?
Assuming 75% packing efficiency, 438 quarters worth $109.50 fit in a pint jar.
To answer this question yourself, type in 0.125 gallons (1 pint=0.125 gallons) in the conversion calculator at the top of this page.
What are quarters made from?
Quarters are mostly made of copper but also contain nickel. To be precise, modern-day American quarters are 91.67% copper and 8.33% nickel. It wasn’t always this way, though! Before 1965, quarters were 90% silver and 10% copper. What hasn’t changed is that every quarter is still worth precisely 25 cents.
Example coin math problem (Pennies, nickels, dimes, and quarters)
A jar contains pennies, nickels, dimes, and quarters. There are 12 pennies, 14 dimes, and 24 quarters. The rest of the coins in the jar are nickels. There are 72 coins in total.
How many coins in the jar are not nickels? If n represents the number of nickels in the jar, what equation could you use to solve for n?
50 coins are not nickels
In conclusion, 3,509 quarters worth $877.25 will fit in a gallon jug.
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