By Deeban Fernandez

UNIT 2 PROJECT: SURFACE AREA AND VOLUME CONTAINER DESIGN

THE GREAT WALL OF CHINA MODEL CONTAINER

PICTURES OF THE MODEL

The length of the model compared with a pencil

MATERIALSYou will need:

• Cardboard box

• Scissors

• Ruler

• Pencil or a Marker

• Tape

• Transparency Sheet (optional)

STEP 1

• Place the model on one corner of the cardboard box

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

STEP 3

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

STEP 4

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

STEP 5

• Place the model in one of the cut out cardboard

STEP 6

• Place the other cut- out cardboard to make a container for the model

Front

Back

STEP 6

• Carefully tape the edges together so that it becomes a fitting container

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.

STEP 8

• Put all parts together and tape in place

STEP 9

• Now put a price tag on the container (optional)

STEP 10

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

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

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

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

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

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.

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.

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

THE END

• Thank You For Watching

• By Deeban Fernandez