The following questions and estimated solutions are presented by 8th graders at Harwood Union Middle School in honor of Enrico Fermi. The blog is inspired by a modern day Fermi geek, Dr. Aaron Santos, who writes his own blog, A Diary of Numbers. Check out his link in the side bar.
Thursday, October 31, 2013
How many boards did it take to build the coverage bridge
1. Background Story:
Have you ever wondered how many boards there are on the covered bridge in Waitsfield in town. Now if you have had to time to think about that you must of been pretty curious. I chose this question because I didn't think that Google would have this answer for me.
2. Ask Yourself This:
What is the area of the covered bridge ?
How long is the covered bridge ?
What is the height of the covered bridge?
What is the width of the covered bridge ?
3. Helpful Hints:
a.
The covered bridge is 105 feet long.
The height is 9,6 ft
15.5 ft.wide
4. Construct a Formula:
I will have to find the area and then estimate that the boards for the platform is 16 ft long at the most and then there are two beams on the bottom. Then the Sides will have to be estimated.
5. Messy Math:
H x W to find area of bridge
105 ft long.
5,6ft to peak
height 9,6ft
Boards for side of bridge are 1 x 6
105 d 6 = 175 boards for one side
350 boards on all for sides.
There are 21 boards that divide up the windows on the side with windows.
Platform made with 4 x 6 x 22
4 brds that go straight down for the length of the bridge.
12 going across width with 4 brds in length would mean 12 x 4 = 48 brds
Roof
W d 2
11 trusses for ceiling
10 cross boards
24 2 x 6
44 boards for the roof .
6. Answer:
350 side boards
21 window boards
24 platform boards
11 trusses
13 side wall supports
78 roof boards
497 boards it took to build the covered bridge.
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