This document describes the design and construction of a container to hold a model of the Great Wall of China. It provides step-by-step instructions for measuring and cutting cardboard to form the container shape around the model, with an opening covered by a transparency sheet. Surface area and volume calculations of the finished container yield a ratio of 0.8895 cm^2/cm^3, demonstrating more efficient use of materials than a simple cube shape.

1. UNIT 2 PROJECT: SURFACE AREA AND
VOLUME CONTAINER DESIGN
By Deeban Fernandez

2. THE GREAT WALL OF CHINA MODEL CONTAINER

3. PICTURES OF THE MODEL
The length of the model compared with a pencil

4. MATERIALS
You will need:
• Cardboard box
• Scissors
• Ruler
• Pencil or a Marker
• Tape
• Transparency Sheet (optional)

5. STEP 1
• Place the model on one corner of the cardboard box

6. STEP 2
Measure out the model’s height, width and length

7. STEP 3
• On the cardboard measure out the height, width and length and
leave 0.5 cm space for putting the model.

8. STEP 4
• Cut out 2 opposite corners of the cardboard with the same
measurement, such that they can fit to make a container.

9. STEP 5
• Place the model in one of the cut out cardboard

10. STEP 6
• Place the other cut- out cardboard to make a container for the
model
Back
Front

11. STEP 6
• Carefully tape the edges together so that it becomes a fitting
container

12. STEP 7
• Next, measure one of the sides and then cut out a piece
transparency sheet the same size. Use that as a window on the
package so that people can see it clearly.

13. STEP 8
• Put all parts together and tape in place

14. STEP 9
• Now put a price tag on the container (optional)

15. STEP 10
• Enjoy your container and measure the height, width and length
in order to find the surface area and volume with a ruler.

16. SURFACE AREA
• Surface area is the sum of all unit squares that fit on the exterior of a solid .
• Measurements for the complete container:
• Height: 6.5cm Width: 5cm Length: 11cm
• To find surface area you need to make the following:
• Surface Area= 6a² (a is the length of the side of each edge of the cube)
• Faces(cm) Dimensions(cm) Areas(cm)
• Top 11 X 5 55
• Bottom 11 X 5 55
• Front 11 X 6.5 71.5
• Back 11 X 6.5 71.5
• Left 5 X 6.5 32.5
• Right 5 X 6.5 32.5

17. SURFACE AREA (CONTINUED)
• Faces(cm) Dimensions(cm) Areas(cm)
• Top 11 X 5 55
• Bottom 11 X 5 55
• Front 11 X 6.5 71.5
• Back 11 X 6.5 71.5
• Left 5 X 6.5 32.5
• Right 5 X 6.5 32.5
*Next add all the areas up and that will give the surface area +
Surface Area= 318cm²

18. VOLUME
• Volume= Volume is the measure of the amount of space inside of a
solid figure, like a cube, ball, cylinder or pyramid. It's units are always
"cubic", that is, the number of little element cubes that fit inside the
figure.
• V= Length X Width X Height
• So Height: 6.5cm Width: 5cm Length: 11cm
• 6.5cm X 5cm X 11cm = 357.5cm
• Volume = 357.5cm³

19. SURFACE AREA AND VOLUME RATIO CM2/CM3
• Surface Area and Volume Ratio is the amount of surface area
per unit volume of an object or collection of objects.
• Since the Surface Area is 318cm²
• And Volume is 357.5cm³
Therefore, the Surface Area to Volume Ratio is 318cm²/ 357.5cm³
Ratio= 0.8895cm²/cm³

20. SURFACE AREA AND VOLUME RATIO
COMPARISON
The blue cubic decimeter Surface Area to Volume Ratio was 0.6
cm2/cm3 . My container’s ratio was 0.8895cm²/cm³ . So mine is
bigger. The blue cubic decimeter was a cube with all sides equal.
My container was a rectangular prism designed according to the
volume and shape of my model with had different length and width.
I would need a big cube to put my shape which would be a waste
of material.

21. ANALYSIS
• My container is an economically sound shaped container for the
company. It can fit nicely into the shelf if stacked with the front
side facing the customer view. It is best stacked next to each
other and stacked from top to bottom. Another reason is that
most companies make containers that tend to waste 1-6 cm of
space, whereas mine only leaves a gap of .5cm. The effeciency
of my container is based on the surface area to volume ratio. I
have built it to make ithe best use of space.

22. BIBLIOGRAPHY
• Photos/Resoucres
• http://onlyhdwallpapers.com/world/china-great-wall-of-desktop-hd-wallpaper-439225/
• http://1.bp.blogspot.com/-
VmEJqGsRKl8/Ta2n1S9gLeI/AAAAAAAAMns/sW0ipRGrBVg/s1600/great-wall-of-
china.jpg
• Photobooth
• http://www.mathsisfun.com/basic-math-definitions.html
• http://www.amathsdictionaryforkids.com/dictionary.html

23. THE END