SCENARIO: "Since the public is becoming increasingly concerned about the impact that food packaging is having on the environment, the president of the Chocolate Company, The Sweet Bite, has called a crisis management meeting of her strategy team. Sales of the company's signature chocolate bar, the Chocolongo, have plummeted since a recent article named the company as the largest producer of packaging waste in the chocolate bar industry. This is very distressing news for the company. Before the appearance of the article, the Chocolongo Bar had always met with rave reviews because of its unique long, thin shape.""The president wants to continue providing her loyal customers with the same volume of chocolate while reducing the amount of packaging used. Therefore, her strategy team must determine a different format for the bar. To preserve some similarity between the original Chocolongo Bar and the new one, the team leader requires that the new bar have only a single wrapping. No additional sleeve is to be used. The team must provide proof that the selected format will result in the least amount of packaging. A member of the strategy team has asked our class for assistance with this challenge."
THE TASK 
"Your team has 36 interlocking cubes, which represent the total volume of a Chocolongo Bar. Your task is to work with the 36 interlocking cubes to find all other possible formats for the new and improved bar. For shipping and storage purposes, the final product must be in the form of a rectangular prism."“You will be working in teams of four. As a first step, you will each work independently to contribute to this group blog in the comment section just below, noting every possible format for the new Chocolongo Bar and identifying the total surface area. During sharing, you will compare your possibilities with those of your team members and determine which format best meets requirements."
When we try to make the chocolate bar we should try to make them in sizes that make the interlocking cubes look like a actual chocolate bar. We could possibly use the measurments W=2, L=18, or we could possibly use W=3, L=12.
ReplyDeleteVictoria
On the first post I made I forgot to add in the total surface area, so here it is. For the first set of measurements the total surface area in 40cm2. For the second set of measurements the total surface area is 30cm2. So in my opinion out of the two sets of measurements that we have so far we should pick the second one.
ReplyDeleteVictoria
Another set of possible measurements are, width=4 length=9 and height=1,surface area= 80cm2. Another possible set of measurements could be width=1 length=36 height=1, surface area= 74cm2. So the best choose of the set of measurement that we have so far would still be, the second one.
ReplyDeleteVictoria
Victoria, you have shared so many combinations and I was wondering if anyone else had any. I think that we need to look at the surface area for the rectangular prism with your volume formula. A = l x w for each of the sides and there are 6 sides in a rectangular prism. This is going to take awhile to do when we get together.
ReplyDeleteWhen we find surface area there are six sides and there are 3 pairs of congruent sides. So that means that we only need to use the formula(A=LxW) twice, but we would have to add x2 to the end of the formula to make it A=(LxW)x2.
ReplyDeleteVictoria
I used the formula (LxHxW) and did L=6 x W=2 x H=3 and it worked out to equal 36. So this formula was efficient with the wrapping and would still be the same old "chocolongo bar!"
ReplyDeleteVictoria, you have so many good ideas! You're last comment really helped me understand this question! A few more comments from others like that would really help! Sophie
ReplyDeleteWhen we present our finale product of the Chocolongo task/question we are going to make a movie. But when we need to add in the title/words could we use the Mac?
ReplyDeleteVictoria
I think it would be good to cut and edit our movie on the Mac! Working with technology makes math fun! Sophie :p
ReplyDeleteI used the formula (LxHxW) and did L=6 x W=2 x H=3 and it worked out to equal 36. So this formula was efficient with the wrapping and would still be the same old "chocolongo bar!"
ReplyDeleteMalik
Yes, if you use the (LxH)xW and did (L=6xW=2)xH=3 it works out to equal 36 units3. But in the question doesn't it say that the Chocolongo bar is known for it's long shape? So if you use the measurments L=6, W=2 and H=3 the chocolate bar woud not be long but more like a cube.
ReplyDeleteVictoria