(STORY): Cleo Cola, a new Fortune 500 company, plans to sell soda pop in 12-ounce cylindrical cans. Cleo Cola will generously reward the employee team that designs the can that can be constructed with the least amount of material. Your team is challenged to determine the dimensions that will minimize the surface area of the can. (Your team knows that 12 liquid ounces is approximately equal to 355 cubic centimeters.) Assume that the thickness of the material is uniform (i.e., the thickness of the aluminum is the same everywhere in the can)........(PROBLEM): Do the soda cans that we see at the store use these dimensions? Why do you think this is or is not the case? Is there an assumption that we made that might not be a valid assumption? (show work)
(STORY): Cleo Cola, a new Fortune 500 company, plans to sell soda pop in 12-ounce cylindrical cans. Cleo Cola will generously reward the employee team that designs the can that can be constructed with the least amount of material. Your team is challenged to determine the dimensions that will minimize the surface area of the can. (Your team knows that 12 liquid ounces is approximately equal to 355 cubic centimeters.) Assume that the thickness of the material is uniform (i.e., the thickness of the aluminum is the same everywhere in the can)........(PROBLEM): Do the soda cans that we see at the store use these dimensions? Why do you think this is or is not the case? Is there an assumption that we made that might not be a valid assumption? (show work)
