SKYE Storage Facilities

Ⅰ.Data

Information about water

Country Swiss Japan France GermanyNetherland

sKorea

Amount of water(L) 402 367 211 196 195 398

(A chart from Ministry of Environment of Korea)

http://edu.me.go.kr/env2/index.html

The volume of water - 1ml = 1cm^3

Information about rice

• An adult eats approximately 220g of rice a day.

• The volume of cooked rice is twice bigger than raw rice.

• Volume of rice- 1g = 1cm^3

Water container in real life

http://www.ipco.com.sg/watter.htmhttp://www.piedmontsub.com/Gville.shtml Usually cylindrical shape

Food container in real life

http://www.foodmixers.com/models_vessels.asp

Ⅱ.Calculations and Designs

ⅰ.Water Container

How much water are we using per day?

• A shower- 30L

• A bath- 80L

• Washing Machine- 100L

• Washing Dishes-20L

• Drinking Water- about 2.6L

• Flushing Toilet- 10L

The amount of water we are going to supply

A person uses about 212L of water a day.

A family of 2 adults and 2 children will use 212L*3(2 children use 212L)=636L

636L-100L(washing machine)-240L(Bath)-40L(2 times of washing dishes)= 260L

50 families will use 260L*50=13000L a day.

∴13000L*14=182000L for two weeks.

Water Container• Shape- Cylinder

(Not fragile)

• A cylinder’s TSA calculation method

= πr^2 + 2πrh

= πr(r+2h)

TSA of the water container

Radius(m) Height(m) TSA(m^2) Volume(m^3) Concrete floor($) Total Cost($)

1 58 366 182 1152 5124

2 14.5 207 182 2048 4946

3 6.5 180 182 3200 5720

4 3.65 192 182 4608 7296

5 2.33 230 182 6272 9492

6 1.6 228 182 8192 11384

Justification

• Sensible height -Using 2m as the radius of the container gives us the cheapest cost. However, if we use 2m as the radius of the water container, the height is too high. (14.5m is about the height of the fifth floor of an apartment.) Thus we chose stability rather than cheap cost, and decided to use 3m as the radius.

Justification

• For the concrete floor, we added 1m margin for every side to make people easy to step on it.

• Costs are rounded up to the nearest whole number- To show the clear differences between values

Final Decision• Height- 6.5m

• Radius-3m

• Volume- about 182m^3

• Cost of cylinder- $2507

• Cost of cement floor-$3200

• Total cost- $5707

ⅱ.Food(=grain) Container

How much food do we have to supply?

• An adult- eats about 0.25kg of rice a day

• A child- Assume that a child will eat the half of the amount an adult eats a day

• A family(2 adults, 2 kids)-

Eats about 0.8kg of rice a day

• 50 families for 2 weeks- 0.8kg*50*14

= 560kg

Food container

Shape= Rectangular prism

1cm^3= 1ml= 1g

∴ 1kg= 1000cm^3

∴ 560kg= 560000cm^3

(= 0.56m^3)

TSA of the container

Length(m) Width(m) Height(m) TSA(m^2) Volume(m^3) Concrete floor($) Total cost($)

1 1 0.56 3.24 0.56 512 557

0.56 1 1 3.68 0.56 399 451

Justification

• Sensible shape -We chose rectangular prism for the shape of the container, because the pack of rice is shaped like a rectangle (with smoother edges). Since rectangular shape is easy to contain rectangular objects, the pack of rice will fit easily in the rectangular shaped container.

Justification

• Rounded up to the nearest whole number- Shows a clear change between two values.

• No floor- Water container needs a steel floor to contain water (liquid), but steel floor is not needed to contain rice (solid).

• For concrete floor, we only added 0.5m margin each for every side, since the size of the container is very small.

Final decision

• Length, height= 1m• Width= 0.56m• No floor• Volume= 0.56m^3• Cost of the prism

≒ $52• Cost of the concrete

floor ≒ $399

• Total cost $451≒

Bibliography

http://edu.me.go.kr/env2/index.html

http://www.ipco.com.sg/watter.htm

http://www.piedmontsub.com/Gville.shtml

http://www.foodmixers.com/models_vessels.asp