(20') SINQing the Humboldt canoe (wrapup, literally [learn how to use this word correctly]):
Followup about the question one of you asked: "So did Humboldt actually calculate that all out when we was loading his canoe?" An example: "Alexander, Wie berechnest du die Größe von deinen Kanus? Alexandre, Le bateau ici - est-ce-que tu sais exactement s'il est assez grand?" And how did they figure out how much wood they needed for those boats and crates? They planned and calculated carefully; we have the expedition mission orders and packing lists of Cook and Lewis & Clark.
Key concepts: displacement and density (Wikipedia: density); key fact: density / weight of (salt, fresh) water (Wikipedia: water weight)
So: What is the volume of that original Humboldt Canoe (40' long, 3' wide, semi-circular cross section throughout)? How about one with a 3' width, rectangular transom (1.5' high), and flat bottom? How about one with a triangular cross section (3' wide, with bottom (keel) as right-angle? What about - we're getting dangerously close to calculus here - a real canoe, with its constantly changing lines and pointed bow and stern? How does that relate to how many supply and sample boxes they could get into the Canoe, how much wood is needed to make various shapes of containers, and what your airline carry-on baggage allowance is? What if H were starting with a needed cargo weight and working backward to the best combination of length, beam, and draft? Would(n't) this all be easier if we used the metric system? ••Maybe: Worksheet about volume, weight, and displacement.
If time: How you can win a bar bet but also contribute to the understanding of sustainability: What are the weight and volume of the human race? commentsabout 100 billion pounds; 14 billion cubic feet (if people were cubes and could be stacked with no space in between, the entire human reace would fit into a corner of a cubic mile, with plenty of room to spare - the cubic mile could contain 60 billion people)
Main point: They generated, found, collected a huge amount of data and then organized it and drew conclusions from it, for both immediate practical purposes and as contributions to science. Without that data and the rest of their work we would not have even a notion of sustainable environmenalism or such specific things as GPS.
What does all this have to do (see picture of the week above) with getting up the Orinoco, through the Casiquiare Canal, and down the Amazon; the Whiskey Rebellion; the Mexican War; and the science and economy of then and ("interpreting the past") now?
If time: money, currency, and the heaviness of gold
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