## How Many Jellybeans?

JELIVBERNS: An Ilustration of Efficiency in Storage If you have a storage shed, you've probably had to organize it a few times. After packing things into boxes and arranging them on a shelf, clutter tends to pile up until it needs sorting. Efficient packing is essential to making the most of your space. For a fun little Easter graphic, we'll explore packing efficiency with jellybeans and painted, hardboiled eggs! Why Pack Efficiently? We're sure you can think of plenty of moments when you need to pack efficiently! Instead of building a new garage, you should pack the one you have as best you can. When going on a long family vacation, you only have so much trunk space to Let's get to the fun part! Below, we've calculated how many jellybeans or eggs could fit into the volume of all sorts of famous and A77 work with. If you're a business, you always need to be efficient so that you understand your true costs and profits. common buildings and objects. We'll reserve the end of this infographic for all the nerdy math! Average Full Size Pickup Truck Bed A 160z Ball Canning Jar ........... Jellybeans 379,028 Jellybeans Easter Eggs 93 5 Easter Eggs 19,619 The Interior of a Mid-Size Car Jellybeans 668,271 Easter Eggs A Martini Glass 34,591 Jellybeans Easter Eggs 26 Big Ben Mt. Fuji Jellybeans ABOUT 874.66 BILLION Easter Eggs ABOUT 45.28 BILLION Jellybeans ABOUT 922.09 Easter Eggs ABOUT 47.73 MILLION MILLION The 2016 Times Square New Year's Eve Ball NASA Space Shuttle Crew Cabin Jellybeans ABOUT Easter Eggs Jellybeans ABOUT Easter Eggs 5.08 262,985 762,662 MILLION 14.73 MILLION A Standard Bathtub A Camel's A Hump Jellybeans 15.012 Jellybeans 60,051 Easter Eggs 777 Easter Eggs 3,108 A 24 by 24 Foot Two Car Garage The Roman Colosseum Jellybeans ABOUT 261.75 BILLION Jellybeans ABOUT 25.88 Easter Eggs ABOUT MILLION 13.55 BILLION Easter Eggs ABOUT 1.34 MILLION The Great Pyramid of Giza Jellybeans ABOUT The Empire State Building 512.27 BILLION Easter Eggs ABOUT 26.52 BILLION An Arcade Ballpit Easter Eggs ABOUT Jellybeans ABOUT 207.76 Jellybeans 718,750 10.75 BILLION BILLION Scrooge McDuck's Money Bin Easter Eggs 37,204 The Sydney Opera House Concert Hall Jellybeans ABOUT 733.80 Jellybeans ABOUT 5.24 MILLION BILLION Easter Eggs Easter Eggs ABOUT 37.98 ABOUT 270.99 MILLION MILLION The Human Stomach Disney's Spaceship Earth Jellybeans ABOUT 13.20 BILLION Jellybeans Easter Eggs 1,793 40 Easter Eggs ABOUT 683.06 The International Space Station MILLION Jellybeans ABOUT 181.56 MILLION A Cloud Jellybeans ABOUT 198.3 TRILLION Easter Eggs ABOUT 9.40 MILLION Easter Eggs ABOUT A Human Brain 10.26 TRILLION Jellybeans Easter Eggs Death Star 1 224 11 A Swimming Pool Jellybeans ABOUT 12.67 MILLION Jellybeans ABOUT 179.42 QUINTILLION Easter Eggs 655,692 An Easter Island Head (Moai) Easter Eggs ABOUT 9.29 QUINTILLION Alantic Ocean Jellybeans ABOUT Easter Eggs 61,177 1.18 MILLION The Moon Jellybeans ABOUT 61.55 SEXTILLION Jellybeans ABOUT 4.35 QUADRILLION Easter Eggs Easter Eggs ABOUT ABOUT 225.39 3.19 TRILLION SEXTILLION Calculating with Volume . When calculating with jellybeans and eggs, we used volume. Our formula looks something like this: 77 The Number of Objects in a Container = (Container Volume)*(Volume Fraction) / (Volume of 1 Object) What's the Volume Fraction? The volume fraction, or packing density, is the percent of the container that is taken up by the objects within it; it's what makes packing oddly shaped objects so tricky! There will always be some space between them. For example, all the tiny spaces between each jellybean in a jar might add up to 15% of the jar's volume. We need to account for that! The Math You can do your own experiment at home with almost any object if you know the proper formulas. Here are the numbers and formulas we used: Jellybean Easter Egg Volume Fraction of an Egg =.64 or 64%. We used the volume fraction of a sphere for our hardboiled eggs. Volume Fraction of a Jellybean = .7 or 70%. Studies have shown that random close packing of spheres leads to a maximum volume fraction of approximately .64. Irregular spheres and cylinders, like M&Ms and jellybeans, can be packed more closely together because of their odd shapes. M&Ms have a volume fraction of .68, so we estimate that some irregularly shaped jellybeans would pack slightly closer together. Volume of a Hardboiled Egg = 62.35 cubic centimeters. Volume of a Jellybean = 3.53 cubic centimeters. A jellybean is a roughly cylindrical shape. The formula for finding the volume of a cylinder is h*n(r)° and the dimensions of our jellybeans were 1.5 cm in diameter and 2cm in height. We can convert cubic centimeters to any other measurement of volume with some simple math. We actually had to look this one up! It's one standard deviation above the average volume of a domestic chicken egg, assuming that commercial eggs are, on average, larger than domestic chicken eggs. You can easily experiment with this at home. Get some water and measure it out into a measuring container. Note its volume. Then add a hardboiled egg to the water and measure its volume again. The difference between the two measurements, converted into cubic centimeters, is the volume of the egg. Sources: www.math.udeledu|www.umich.edu|www.en.wikibooks.org|www.youtube.com| www.en.wikipedia.org|www.en.wikipedia.org|www.ncbi.nlm.nih.gov |www.sora.unm.edu| www.soilbuildingsystems.com|www.en.wikipedia.org|www.w-uh.com|www.es bnyc.com| www.hexapolis.com|www.gids.nl|www.nasa.gov|www.zidbits.com | swww.tarwars.wikia.com| www.pbs.org|www.store.waterpumpsupply.com |www.ngdc.noaa.gov|www.timessquarenyc.org| www.homeguides.sfgate.com|www.spaceflight.nasa.gov| www.loc.gov|www.disney.wikia.com Alan's FACTORY OUTLET %24 %24

# How Many Jellybeans?

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