Math Modelling project thingy 2011 ( 3R5 )

5. Royden Joyce Vanessa Adrian

6. Adrian! There’s a spider behind you!!! Oh whatever…..

7. Aaaaah! SPIDER!!!! Nevermind, just ignore it.

8. Irritating. It’s just a spider… Get away from me! Get away from me!

10. What do you want?!

11. It’s me the Mayor, Mr Adrian. Relax…

12. Oh my so sorry Mr mayor.. What was it that you wanted? *That was close..* Mr Adrian, I have a very important task for you. I want you to make something for the town this Christmas. You can ask your friends to help you with it. I’m sure they won’t mind helping someone like you, with such brilliant teeth…. No problem! Challenge accepted!

13. I am so doomed… I guess I’ll just call them…

14. Hello! Do you guys mind if you help me carry out this big project the mayor gave me? I have cookies!

15. Sure Sure Sure

17. I was thinking, how about a Go-Kart race around the town centre? Sounds reasonable, let’s go try it out!

19. Maybe a race isn’t such a good idea…. Agreed. *speechless*

20. How about a giant snowmen all around the town? Maybe a snowball fight too? Sounds fun

22. Well this is awkward… Speechless… Agreed

23. This is never going to work… How am I going to explain to the mayor? Maybe I’ll say my bunny ate my blueprints..

28. I GOT IT! I’m going to build a giant marble Christmas tree!

32. MISSION ACCOMPLISED

33. Well…I’m not the one that did the calculations, let me ask Royden to explain.. The Marble Christmas tree was amazing! How did you do it?! I plan on making chocolates out of it

34. Well the calculations were something like this…

36.  = Calculator value CONE Volume : ½ x  x (  ) x (  x  ) =  Surface Area:  (  )   x  ) =  Height: 14 Base: 15 Diagonal: 16

37. STAR Volume = 2474 Hexagon Volume: 2474 – 5( 1/2 x 5.5 x 5 x 5 ) = 2474 – 343.75 = 2130.25 Height: 5.5 Diagonal: 6 Width: 5 Base: 5

38. Hexagon Base Area: 2130.25 ÷ 5 = 426.05 Surface Area: 10( 6 x 5 ) + 10( ½ x 5 x 5.5 ) + 2( 426.05 ) = 300 + 137.5 + 852.1 = 1239.6 Larger surface area = More materials required More materials required = Higher material cost Higher Material cost = More money needed

39. SPHERE  = Calculator value Volume = 2474 Calculation of Radius: 4/3  r 3 = 2474  r 3 = 1855.5 r 3 = 590.624 r 3 = 8.39 Radius: 8.39 Diameter: 16.78 Surface area: 4 x  r 2 = 4 x p x (8.29) 2 = 884.6 cm 2 Conclusion: As the cone has the smallest surface area, it is the most cost effective among all other choices.