1. Sweet Cheats

2. Sweet Cheat
A graphic design container company has asked you to submit designs for a new cardboard candy container that can hold approximately 300 cm3 (cubic centimeters) worth of candies.

5. Keep in mind the container will need to be constructed using three basic shapes: triangular prism, square prism & cylinders.

6. Daily Planner……
Every day you are to write down in your daily planner, What you did, important calculations, comment & current surface area / volume as required

7. Brainstorm some ideas of the kinds of containers you might build
Brainstorm some ideas of the kinds of containers you might build. Keep in mind the container will need to be constructed using three basic shapes: triangular prism, square prism & cylinders.
Sketch out 2 of your best ideas that you could possible make

8. Day 2

10. A net is a two-dimensional figure that, when folded, forms a three-dimensional figure
This is an animation showing the net on the last page to assist with the idea that it forms a cube

11. Cube How many different nets can you make for a cube?
11 possible nets for a cube

12. Rectangular Prism Base 2 Bottom Back Top Base 1 Front Top Back Side 2
Height (H)
Bottom
In this slide you begin the development of what is surface area. The shape will be broken up identify what shapes make up the outer surface of this shape. Also discuss what the shape is. It will break up into its rectangular parts as it does discuss the opposite sides and their relationship.
Width (W)
Length (L)

13. Square Prism
Create a net for the square prism?
5 cm
5 cm

14. Rectangular Prism Create a net possible for a rectangular prism shape?
6 cm
8 cm
8 cm
6 cm
6 cm
6 cm

15. Container Design
Your 3-D Drawing (rough) of your container design needs to be complete.

17. Container Design
Add to your 3-D Drawing (rough) of your container the rectangular prism dimensions (measurements) & complete the rectangular net (rough) with dimensions.

18. Day 4

19. Surface Area - the total area of all the faces (surfaces) of an object.
To find the surface area of an object we can add up the areas of the separate faces.
Face
Area
Number of Sides
Total Area B
12cm2 2
24cm2 A
15cm2
30cm2 C
20cm2
40cm2
TOTAL 6
94cm2 C A w B
3 cm
5 cm h l
4 cm
Area of rectangle = l x w
Note: some faces are the same size and shape
Area of rectangle B = 3 cm x 4 cm
Area of rectangle A = 3 cm x 5 cm
Area of rectangle C = 4 cm x 5 cm

20. Note – the capital letter stands for the AREA of the BASE
Volume
space occupied by a solid
5 cm
2 cm B h
3 cm
The volume V of a prism is the area of its base times its height h
V = Bh
Volume = Bh
= Base area x height
= (l x w) x height
= (3 cm x 2 cm) x height
= 6 cm2 x 5 cm
= 30 cm3
Discuss why this is a unit cube and the volume vormula
Note – the capital letter stands for the AREA of the BASE
Area of rectangle = l x w

21. What is the surface area and volume of the prism?
Number of Sides
Total Area B
120cm2 2
240cm2 A
264cm2
528cm2 C
220cm2
440cm2
TOTAL 6
1208cm2
10 cm C B A
12 cm
22 cm
Area of rectangle = l x w
V = Bh
= Base area x height
= (12 cm x 10 cm) x h
= (120 cm2) x 22 cm
= 2640 cm3

22. Project
Using one of your rectangular prism in your container design, calculate the surface area and volume for this rectangular prism and record in your daily planner
Make a basic paper model for one of the rectangular prisms using correct measurement.

23. Day 5

24. Example Nets For Triangular Prisms

25. Surface Area of a triangular prismD B A
Area = 𝒃𝒉 𝟐
Triangles B C
= 𝟗 𝒙 𝟖 𝟐
= 𝟕𝟐 𝟐
= 36 cm2
Face
Area
cm2
Number of Sides
Total Area B
36  2 
72  A 50 1 C
 40 1 
40  D
 45
45 
TOTAL
 207
Area of = l x w
rectangle
= 10 x 5
= 50 cm2

26. Volume of a triangular prism?
Find the height of the triangle using Pythagorean theorem
a2 + b2 = c  c2 - a2 = b2
= b2
= b2
364 = b2
√364 = √b2
19.08 = b
V= Bh
Find area of the base
= (114 ft2)h
Multiply it by the height
= (114 ft2) x 25 ft
= 2850 ft3
Area Triangles = 𝒃𝒉 𝟐
= 𝟏𝟐 𝒙 𝟏𝟗 𝟐
= 𝟐𝟐𝟖 𝟐
= 114 ft2

27. Calculate surface area and volumeB B D
Face
Area
cm2
Number of Sides
Total Area B 6 2  12 A 35 1 C 28 1  D 21
TOTAL 96
Area = 𝒃𝒉 𝟐
Triangles
Area of rectangle = l x w
V= Bh
V= 6 x 7
= 42 cm3

28. Project
Add to your 3-D Drawing (rough) of your container the triangular prism dimensions (measurements) & complete the triangular net (rough) with dimensions.
Using one of your triangular prism in your container design, calculate the surface area and volume for this triangular prism and record in your daily planner

29. Day 6

30. Surface Area Cost & Quiz
If cardboard cost $ per cm2, what would be the cost of the cardboard for the Toblerone net, if the total surface area was 650 cm2
650 cm2 x $ cm2 = $1.625
Determine the cost to make (surface area) of one of your rectangular or triangular prisms and record in your daily planner.
Make a basic paper model for one of the triangular prisms using correct measurement.
Quiz next class
2 Questions
- Surface Area, Volume & Cost for rectangular & triangular prisms

31. Day 7 Quiz – SA & Volume for Prisms All rough work for rectangular/triangular prism for the nets and 3D drawings complete All rough calculations should be done for the SA and Volume for rectangular/triangular prisms Paper models built for these prisms

32. Day 8

33. Cylinder Bases Cylinder
Discuss how prisms and cylinders have similar ways of looking at the base they are congruent parrallel and there are 2.
Cylinder

34. Surface Area of a Cylinder?
18.84 A cm 6 B
Formula for Area of Circle
A =  r2
= 3.14 x 32
= 3.14 x 9
= cm2 cm
Face
Area
cm2
Number of Sides
Total Area B
28.26 2 
56.52  A
113.04 1
TOTAL 
 169.56
Find the circumference to determine the length of the rectangle
C = 2  r OR C =  d
= 3.14 x 6
= 18.84
Now use the circumference to help determine the area of the rectangle
Area of rectangle = l x w , w is the height
= x 6
= cm2

35. Volume of a Cylinder = (28.26)h = 169.56 unit3 V= Bh
Find area of the base
= (28.26)h
Multiply it by the height
= (28.26) x 6
= unit3
Formula for Area of Circle
A=  r2
= 3.14 x 32
= 3.14 x 9
= unit2

36. Calculate the SA and Volume of the cylinder Be sure you know the difference between a radius and a diameter!
Face
Area m2
Number of Sides
Total Area B
78.5 2
157.0 A
131.88 1
TOTAL 
288.88 
Formula for Area of Circle
A=  r2
= 3.14 x 52
= 3.14 x 25
= m2
C =  x d
= 3.14 x 10 m
= 31.4 m
A = l x w
= 31.4 m x 4.2 m
= m2
V = Bh
V = m2 · 4.2 m
V =
= m3
V = m3

37. Cylinder SA and Volume
Add to your 3-D Drawing (rough) of your container the cylinder dimensions (measurements) & complete the cylinder net (rough) with dimensions.
Using one of your cylinders in your container design, calculate the surface area and volume for this cylinder and record in your daily planner

38. Day 9

39. Project & Fill Cost
What is the cost to fill the one 650 cm3 cylinder it cost $0.003 per cm3.
650 cm3 x $0.003 cm3 = $1.95
Determine the cost to fill one of your cylinders within your container designs and put this in your daily planner. Then make a basic paper model for this cylinder using correct measurement.

40. Day 10 Calculate all the surface areas and volumes for your project and record in your daily planner Start working on your good copy Quiz next class

41. Day 11
Quiz on Cylinders Continue working on good copy for 3D drawing, nets, calculations and associated costs.

42. Day 12 Finish working on your booklet & create a paper model of your candy box, all due next class

43. Day 13 – Project is due

44. Group Roles & Responsibilities
You will assign a role to each person in the group and the lead person will also have an assistant
Artistic Specialist
Cost Design Specialist
Construction Specialist
Communications specialist/coordinator

45. Artistic Design Specialist
Design wrapper with volume & mass amounts
Ingredients, Nutritional info, etc. (see sample candy containers)

46. Cost Design Specialist
Calculations of surface area its costs
Calculations of volume and the cost of Candy needed to fill the container
Uses actual measurements
Fills container with candy

47. Construction Specialist
Constructs the cardboard accurately
Responsible for Final product appearance

48. Communications Specialist/Coordinator
Lead on final presentation
Creates contact list with everyone's and phone numbers, cell numbers, Skype, facetime, or whatever to communicate and keep everyone up to date

49. 2 Minute Presentation Layout What Problem are you trying to solve
How does your invention solve that problem
2) Plan
Sync (2 minutes)
b) Easy to Understand
c) Greed Inducing
d) Irrefutable – no questions after presentation

50. Day 14 Design, build, construct, coordinate, calculate and/or practice for your presentation.

51. Day 15 Presentations