Vermont being a very mountainous and fertile place, has many trees. Maria and Stephen were outside on a walk up the mountain and were flabbergasted by the amount of trees they could see when the got to the top. This made them think, if all the trees in Vermont were cut down then how much 11x81/2 paper could be made?
How many trees are in Vermont? How many trees does it take to make 11x81/2 paper? What kind of trees provide what kind of paper amount? Tree sizes? How many acres are in Vermont?
1) 187 trees per acre in Vermont.
(http://www.vtfpr.org/util/for_utilize_stats.cfm)
2) One tree produces 80,500 pieces of printer paper (11x81/2).
(http://science.howstuffworks.com/environmental/green-science/question16.htm)
3)To make this a somewhat easy test I am going to say that every tree produces the same amount of paper.
(The website I used to find paper per tree is in helpful hint 3)
4) Since trees vary in sizes I am going to use the normal size tree, an adult tree.
(This is the size of the tree that is used to get 80,500 pieces of paper, "Most are about 1 foot in diameter and 60 feet tall. Ignoring taper, that's about 81,430 cubic inches of wood:" I used the same website as the one in helpful hint 2)
5) There are 6,158,607 acres in Vermont.
(http://wiki.answers.com/Q/How_many_acres_is_in_.97_acres#page1)
One Pine tree produces 80,500 pieces of 11x81/2 inch paper. Since there are a variety of trees in Vermont, I am going to assume that all of the trees are pines.
To find the answer, you need to know how many trees are in an acre and how many acres are in Vermont. You also need to know how much paper a single tree produces. When you have this information you first want to find out how much paper is made per acre. To find this you multiply the number of trees per acre by the amount of paper produced by a single tree. Once you know how much paper is made per acre, you want to multiply that by how many acres are in Vermont. Then you will have your answer in paper/Vermonts total acres.
If one tree produces 80,500 pieces of 11 x 81/2 paper and they are 187 trees in 1 acre than 1.50535 x 10^7 pieces of 11x81/2 paper are produced in one acre. There are 6.158607 x 10^6 acres in Vermont so if there are 1.50535 x 10^7 pieces of paper per acre then in Vermont, if you used all the trees to make paper then, you would get 9.270859 x 10^13 pieces of paper made from ally he trees in Vermont.
80,500 x 187 = 1.50535 x 10^7 pieces of paper per acre
1.50535 x 10^6 x 6.158607 x 10^7 = 9.270859 x 10^13 pieces of paper in Vermont
That is equal to 92,708,590,000,000,000,000 which is also equal to 185,417,180,000,000,000 reams of paper (500 papers per ream)
By using the fermi method, I predicted how much 11x81/2 could be made from all the trees in Vermont. My prediction is that if all the trees in Vermont were cut down to make paper, you could make 92,708,590,000,000,000,000 pieces of printer paper. (Shown in #5)
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