Wednesday, November 5, 2025

Campbell soup problem

 So first off, I estimate the diameter of your wheel to be 30 inches across, because I know from bike industry work that your rims are 28 inches, and the tire is probably 1 inch on each side. 

From perspective it looks like the "O" in "SOUP" is about the same size as your wheel. From putting a ruler over my screen, it looks like the "O" is about 1/7th the half-circumference. So I'll estimate the circumference as 14 * 30 = 420 inches. Additionally, from the same method, the "O" is about 1/12th the height of the cylinder, so I'll estimate the height as 12 * 30 = 360 inches. 

So, to find the volume, the radius is approximately 420 / 2pi = 67 inches. Then the volume is pi * r^2 * h = pi * 67^2 * 360 = 5 * 10^6 cubic inches. This is about 21,645 gallons or 81,935 liters. 

The google AI says that the average house fire takes 3,000 gallons to put out. So yes the water tank should be sufficient for all but the craziest house fires. 

I'm not really sure where there is a distinction between "teacher bird" or "student bird." I'm not a bird unless you mean in the sense of the Nelly Furtado song (she's from Victoria btw), and besides I work through problems in the same way regardless of whether I'm a teacher or student. I've noticed that people tend to infantilize students and act like teachers don't have their own emotions. So I'd rather think of myself as neither a student nor a teacher, but both and none of them at the same time. I'm just a person. 

ANYWAYS this puzzle could be modified to estimating the dimensions of basically any object. There was this guy who was going viral on the internet awhile back for estimating people's height based on intricate geometric estimations and knowing the size of objects in the photo. He was pretty scary accurate at it and it could definitely be a fun challenge for students to estimate the dimensions of objects based on photos or videos. 

1 comment:

  1. This is brilliant — your estimating is tight, your method is creative, and your whole reflection about the bird metaphor absolutely cracked me up while still making a real point about teacher–student identities. Keep that mix of sharp maths and strong voice; it’s such a joy to read.

    ReplyDelete

unit plan draft 1

 UNIT PLAN Maxine Beckie Cambie Secondary, Math 8 Unit: Fractions  Textbook: Math makes sense 8 Units SA will teach before I teach this unit...