Scaled CottageAditya Krishnan7.2Maths

IntroductionCurrently in Math, our unit is Distance and Direction. Since our previous unit was Ratio, we connected the two to make an excellent project. We have been assigned to create a scaled model of anything. However, every single thing that we included had to be to scale. Our group decided to create a cottage for a newly married couple. We decided that they would be adventurous, and also very sporty. With all this in mind, we decided to find out what we could make. And so, we present to you, the Honeymoon Homes.

Initial Sketches/ Planning

Bed

Sofa

Pillow

Table

Air Con Air Con

Footrest

Awards (sports)

Note: Everything that we added on later to our initial plan is in red colour. Other colours mean that that was planned from before.

Dogs and mats

Ball

Reading Lamp and bottle

Bowl and bottle

Final Creation

Calculations of ScaleThe next two pages have a table containing all the actual lengths and drawn lengths. This page shows the formula I applied for each one of them. Scale= 1:20Scale Factor= 20Formula of finding drawing sizes: Actual length/ Scale Factor

= Actual length/20 I used a tape measure for measuring, since some objects were rather big. I worked with centimetres only for everything.

Item Actual Length LxWxH (cm)

Volume (cm3)

Scale Factor

Drawn Length

LxWxH (cm)

Volume (cm3)

Bed 200 x190 x55

2090000

200

10 x9.5 x2.75 261.25

A/C 88 x28 x20 49280 4.5 x1.5 x1 6.75

Single sofa 110 x85 x65 618800 5.5 x4.25 x3.25

379.85

Double sofa 200 x85 x 65

93925000

10 x4.25 x3.25

138.13

Table 140 x75 x45 472500 7 x3.75 x2.25 59.05

Footrest 64 x140x 40 358400 3.2 x7 x2 44.8

Dog (x2) 40 x30 x15 18000 2 x1.5 x0.75 2.25

Mat (x2) 90 x50 4500 4.5 x2.5 11.25

Wall lamp 90 x20 x30 54000 4.5 x1 x1.5 6.75

Pillow 40 x120 x20 11200 2 x6 x1 12

Blanket 140 x180 25200 7 x9 63L stands for length, W for width and H for height

Item Actual Length LxWxH (cm)

Volume (cm3)

Scale Factor

Drawn Length LxWxH (cm)

Volume (cm3)

Golf award 20 x40 x160

128000

20

0

1 x2 x8 16

Cricket award

160 x6 x30 28800 8 x0.3 x1.5 3.6

Shooting award

60 x80 x100

480000 3 x4 x 5 60

Ball 40 x40 x40 64000 2 x2 x2 8

Dog bowl 20 x20 x20 8000 1 x1 x1 1

Home sign 70 x100 7000 3.5 x5 17.5

Awards sign 70 x30 2100 3.5 x1.5 5.25

Exit 240 x40 8600 12 x2 24

Reading lamp 120 x40 x10

48000 6 x2 x0.5 6

Bottle (x2) 50 x10 x10 500 2.5 x0.5 x0.5

0.63

Full house 600 x400 x200

48000000

30 x20 x10 6000

L stands for length, W for width and H for height

BearingsFrom To Three Figure

BearingThree Figure Bearing (from destination to starting point)

Bed Sofa 2700 0900

Bed Dogs 3100 1000

Sofa Dogs 3300 1600

Bed Entrance 2950 1150

Awards Dogs 2750 0950

Awards Sofa 2500 0700

Awards Entrance 2700 0900

Living room A/C Bedroom A/C 0900 2700

Living room A/C Sofa 1600 3350

Living room A/C Bed 1350 2800

Living room A/C Sofa table 2000 0150

This page’s bearings are represented by blue lines in the How I Calculated Bearings page

BearingsFrom To Three Figure

BearingThree Figure Bearing (from destination to starting point)

Living room A/C Dogs 1800 3600

Bedroom A/C Dogs 2600 0800

Bedroom A/C Sofa 2300 0500

Bedroom A/C Bed 1050 0250

Bedroom A/C Sofa table 2400 0600

Bed Lamp 0800 2600

Bed Awards 0500 1300

Sofa table Sofa 0900 1800

Sofa table Dogs 0200 2000

Sofa table Lamp 0850 2650

Lamp Sofa 2650 0850

This page’s bearings are represented by red lines in the How I Calculated Bearings page

BearingsFrom To Three Figure

BearingThree Figure Bearing (from destination to starting point)

Lamp Awards 0100 1900

Lamp Bedroom A/C 3450 0150

Lamp Living room A/C 2950 0650

Lamp Exit 2800 0800

Lamp Dogs 0600 3000

Footrest Sofa 1700 3500

Footrest Bedroom A/C 0700 2900

Footrest Living room A/C 3400 1600

Footrest Awards 0800 2800

Footrest Bed 1200 3000

Footrest Dogs 3200 0400

This page’s bearings are represented by yellow lines in the How I Calculated Bearings page

How I Calculated Bearings

The Making

Explanation of Each PartLiving RoomThe living room consists of a loveseat for two people, along with a footrest for both of them. There is a table by it, which has a reading light attached to it. There is currently a bottle on it, filled with water for the adventurous couple. There are two identical sized mats of different colours, with two identical looking dogs on them. There is a bowl for them to drink from, which they share. Their food is in the bottle that is behind them. The exit looks like a slide, but they just have to sit on it and call their assistant outside to turn on the mechanism, which will let them travel up slowly to where the ceiling would have been. They then slide down to the ground on the other side. Their is an air-conditioning in the room as well. There is a ball lying in the corner, which is for the dogs to play with, and if the couple want to play a session of ball.

Explanation of Each PartBedroomThe living room has a door leading to the bedroom. The bedroom has a giant king sized bed, which have a humongous pillow, bed sheets and a enormous blanket. Along the wall are a few of both the people’s major awards. There is a giant cricket bat, for winning a major cricket match, won by the lady. The man has won the huge hockey stick by winning an important hockey match. The man and woman met in a sharp-shooting competition, and they both tied, and so they both accepted the award together. There is a light above the bed. There is also an air conditioner in the bedroom.

The StoryBoth the man and the woman are extremely sporty and adventurous, which is why they had the house designed the way it was. They are both extremely rich, and have ordered this house to be built in the middle of the Amazon rainforest just for their honeymoon, and it will be broken down after the honeymoon. Firstly, there is no roof, although there is a special ultra violet sensor, which does not let anything enter through the roof except the couple and their house-keeping staff. This way, rain and birds will just skid off. This also doesn’t let the cool of the air conditioning exit. If needed, the ultra violet sensor can adapt any colour, and not allow people from outside to see in. The air conditioning is special too; it will immediately turn the room into the given temperature in a matter of half a second. Since they are adventurous, they have no door. To enter, the person needs to jump off from the helicopter, and aim for the special shock-absorbent landing bed. The staff have also been trained. The staff live in the outskirts of Brazil, and when a bell is pressed they immediately board a ultra-speed helicopter, and reach the cottage in less than 3.834563 seconds. When they are above the cottage, they press a button which gives out a noise sounding like a knock. When the couple press the button again, the house-keeping staff jump in. They are not allowed to land on the bed, so they have to wear special parachutes which evaporate into oxygen when their feet touch the ground.

The StoryAlong with them, the house-keeping staff will bring everything that ever may be required, inside a folded compartment the size of a penny. When the compartment is pressed, a laser catalogue appears, and when anything is selected, it drops directly into the hands of the cleaner. If it needs to be placed somewhere else, then the house-keeping will command so to the catalogue. At a time, there will be only one bottle of water in the cottage, which will automatically refill itself to the brim every two seconds in the case of evaporation. If someone is drinking it, it will refill itself to the brim every millisecond. If the water spills, all the people have to do is press the alarm (which is attached to a floating TV screen that follows them) which will call the housekeeping. The dog food bottle is the same. The only reason the dog bowl automatically doesn’t refill is because the couple like to feed dogs. All day the couple spend outside playing sports and nearly killing themselves. However, whenever they are about the die, some staff member is supposed to come and save them. Unfortunately, when the couple were warming up to get dangerous by jumping of a 400 kilometre ravine onto a waterfall bigger than the Niagra wearing only a top and shorts, the lady got winded in the middle of it, and so pressed the button. She was then whisked away before she reached the bottom, but the man in charge of saving her was fired because she felt she was going to be winded, and she was “not ready for such dangerous injuries like being winded”. To exit the house, one must use the backward slide, on which the person must sit on, and the mechanism will immediately begin, and they will be pulled up to the top of the house. They then have to slide down to the other side. All lights are activated by the couple thinking the command.

Reflection on Unit Question and AOI’s Human IngenuityIt is human intelligence that has decided how to find out the details of a product without having to actually building the entire thing; by making it to scale. This house helped us experiment with this ourselves, and deduce that a scaled down model can also include details and that it shows all the components of how the final product would look.Approaches to LearningEveryone learns in a different way, and I learn fast when I research. This activity has enabled me to do research on my own; not just going on the internet and reading someone else’s findings, but actually doing the findings myself.

Reflection on final productI think that this project was done extremely well, since I collaborated well with my team mates, and everybody got the materials that they said they would. Everyone critically analyzed each problem and came up with a relevant solution for it. Also, one person didn’t end up doing the entire thing; everyone did their part properly with care and interest. They also accepted that they were wrong, or corrected others. We all worked well, and were open minded to each other’s ideas. For example, when I came up with my idea of the story (having rich people building this house, the roof, helicopter, etc.) they all listened carefully and thanked me for the story, instead of pointing out that it wasn’t possible and that it was total rubbish. I think that for the level of my visual art, I did very well. The various parts do resemble what they will in real life, and the structure of the model is very solid. We used our Visual Arts and DT skills of structure and bases in Math, and we also used Science when we depicted what will happen if we placed something in a certain place. And of course, we used Maths to calculate everything. I think that this project was great, and look forward to more hands on research experiments in the future.