Sunday, November 5, 2023

The Giant Soup Can of Hornby Island

Some of the terminology used here is how my SA taught the Math 8 class as a way to be consistent with the terminology. I used what I was comfortable with during my practicum here in this question.

As a question, there were a couple of things that I needed to research, the average dimensions of a bike, as it was the primary thing that I was given to figure out a scale. Another thing that I needed to figure out was the amount of water required to put out a house fire.

After calculating the dimensions of the bike and converting that to real life using a scale of 1cm to 26.25 cm, the volume of the tank came out to be about 54.5 L. Since we only see 80% of the can, the volume is about 43.6 L. Doing my research, I discovered that an average housefire requires 1291 L. Thus, our tank does not have enough water for a house fire. However, we assume the tank is only what we here in the photo. There might be more underground.

After my short practicum and experiencing many things, I see this question as a way for students to help with their math communications. Rather than the traditional approach of asking the students to solve a question, here we will ask students to "formally" prove to me the volume of the water tank. All they get is the average size of a bike and the image to use as a scale. We will ask students to organize their work in a much more excellent way than I have done. And justify how they concluded, such as the scale and how they got their volume.

A way we can extend this problem is: Given that the recommended size for a fire department's water tank should be about 10,000 L, can you draw what the rest would look like? Provide its dimensions.




2 comments:

  1. Thanks Jacky. But I have to say that your estimate of 54.5 L for this large tank is FAR from realistic! I think that your calculations have a major multiplication error: using the reasonable dimensions you estimated, I multiplied to get 22,718,392.2 cubic cm, or 22,718.3922 litres -- enough to put out something like two house fires. Beyond that, your extensions are good, but I worry about your sense of how large 54.5 litres actually is!

    ReplyDelete
  2. For example, here is an image of a 55 L backpack: https://outlet.arcteryx.com/us/en/shop/alpha-ar-55-backpack

    ReplyDelete