“I couldn’t help but admire your large triangular prism,” I wrote. Sadly, this is not the strangest way I have begun an email to a colleague.
“Are you talking about the giant Toblerone-shaped thing? You math guys are weird,” she replied.
Anyway… my three-act math task:
- About how many regular size Toblerone chocolate bars fit inside the giant Toblerone-shaped thing?
- Give an answer that’s too big.
- Give an answer that’s too small.
- What information would be useful to know?
63. Relax. The video is coming soon.
- If 72 regular size Toblerone chocolate bars fit inside a mega Toblerone-shaped thing, how large would it be?
- If 112 regular size Toblerone chocolate bars fit inside a mega Toblerone-shaped thing, how large would it be?
- A mega Toblerone-shaped thing is a little bigger than a giant Toblerone-shaped thing. What could its dimensions be?
- How many regular size Toblerone chocolate bars would fit inside?
I like the phrase “a little bigger.” Probably “borrowed” from Marian Small. The ambiguity here allows for multiple solutions. Students could increase the length of the prism or the size of the triangle base. Which has the greater effect?
Also, there’s something interesting happening here with the sum of consecutive odd numbers.
Oh yeah… a shout-out goes to Andrew Stadel for his Couch Coins task.