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Re: Math question: [Re: Canvasback2] #7284633
06/12/21 05:45 PM
06/12/21 05:45 PM
Joined: Jun 2019
Posts: 173
Utah
J
Jasper69 Offline
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Jasper69  Offline
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Joined: Jun 2019
Posts: 173
Utah
^^^^^ 1/2 cord by formula, but looks more like a cord I could fit in my truck

Last edited by Jasper69; 06/12/21 05:53 PM.
Re: Math question: [Re: Jasper69] #7284641
06/12/21 05:53 PM
06/12/21 05:53 PM
Joined: Dec 2006
Posts: 6,331
MN >>>
T-Rex Offline
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MN >>>
Most folks think of a cord as being 128 ft3. In Minnesota, and probably other places; a cord of:
  • cut
  • split
  • ranked
wood is legally 120 ft3 which is a slightly easier number to work with. I consider the volume to be exactly 1 cord.

My math assumes
  • the shape is a parabola
  • the area of a parabola is Area=2/3(a)(b)
  • "a" = the length of the horizontal line at the base of the parabola
  • "b" = the length of the vertical bisector of said line "a"
  • Therefore the area = 2/3(7.5 ft)(6 ft) =30 ft2
  • The stack is 48"deep, or 4 ft
  • Vol = Area x Depth, or (30 ft2 X 4 ft)=120 ft3
  • The appropriate volume for stacked cut and split cordwood is 120 ft3 per cord. Therefore; 120 ft3/120 ft3 per cord = 1cord

Assuming the more commonly considered 128 ft3 per cord: 120 ft3 /128 ft3 per cord = .9375 cord.

My point is that you don't need to have a working knowledge of calculus for a lot of everyday problems. If you can recognize the shape, it should be a simple matter to find a formula in which you just need to plug in a few values.


Man who mistake shillelagh for fairy wand; see pixie dust, also.
Re: Math question: [Re: Canvasback2] #7284673
06/12/21 07:02 PM
06/12/21 07:02 PM
Joined: Jun 2019
Posts: 173
Utah
J
Jasper69 Offline
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Jasper69  Offline
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J

Joined: Jun 2019
Posts: 173
Utah
Trex, how do you know the vertical is 6 ft.?

Re: Math question: [Re: Jasper69] #7284679
06/12/21 07:15 PM
06/12/21 07:15 PM
Joined: Dec 2006
Posts: 6,331
MN >>>
T-Rex Offline
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MN >>>
Originally Posted by Jasper69
Trex, how do you know the vertical is 6 ft.?
Good question!

That is how it works out for a parabola with a length (surface area) of 16 ft and a base of 7 1/2 ft. For that, I did not show my work, and should probably loose a couple points.
actually, I think it is called cheating. I should have given that along with the base and length to save that important step.

The surface area of a parabola is a bunch more complicated. I simply measured the heights as I changed the base dimension. I then settled on a decent ratio.

Again, sorry, I should have supplied that 6 ft height.


Man who mistake shillelagh for fairy wand; see pixie dust, also.
Re: Math question: [Re: Canvasback2] #7284728
06/12/21 08:05 PM
06/12/21 08:05 PM
Joined: Jun 2019
Posts: 173
Utah
J
Jasper69 Offline
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Jasper69  Offline
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Joined: Jun 2019
Posts: 173
Utah
Ok. I just treated it as a half of a circle. But it looked like what I could haul with my old pickup when they didn't have club cans and had a decent sized bed.

Re: Math question: [Re: Canvasback2] #7284981
06/13/21 08:19 AM
06/13/21 08:19 AM
Joined: Dec 2006
Posts: 917
ny
G
gcs Offline
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Posts: 917
ny
You guys are making my head hurt.... cool

Re: Math question: [Re: Canvasback2] #7285102
06/13/21 11:46 AM
06/13/21 11:46 AM
Joined: May 2018
Posts: 4,606
SW Georgia
W
Wanna Be Offline
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Wanna Be  Offline
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Joined: May 2018
Posts: 4,606
SW Georgia
I’ve forgotten more than I once knew…

Re: Math question: [Re: Leftlane] #7285839
06/13/21 11:27 PM
06/13/21 11:27 PM
Joined: Aug 2008
Posts: 12,043
ny
U
upstateNY Offline
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Joined: Aug 2008
Posts: 12,043
ny
Originally Posted by Leftlane
Yeah dad go do something useful like fill the freezer with Walleye slabs!grin

Im working on It !! smile


the wheels of the gods turn very slowly
Re: Math question: [Re: Canvasback2] #7285855
06/13/21 11:41 PM
06/13/21 11:41 PM
Joined: Nov 2017
Posts: 7,064
Maine, Aroostook
Posco Offline
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Posco  Offline
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Maine, Aroostook
The 3, 4, 5 method of squaring is all you need to know.

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