The Amazing Race Board Game

Transcription

1 Situational Problem Secondary Cycle Two Year One June 2008 The Amazing Race Board Game Context Giza Pyramid, Egypt Giza Pyramid, Egypt Mt. Fuji, Japan Mt. Fuji, Japan Parthanon, Greece Parthenon, Greece Pentagon, Washington, USA START Pentagon, Washington, USA Biophere, Montreal, Canada Biosphere, Montreal, Canada Name: Group: Time: 3 hours June 2008

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3 The Amazing Race Boa rd Game The Amazing Race is a reality television game show, which features teams racing around the world in competition with other teams. Contestants strive to be the first to arrive at the end of each leg of the race to avoid elimination. Teams are progressively eliminated until three teams are left. At that point, the team that arrives first in the final leg is awarded a large cash prize. Contestants travel to many countries in search of clues that lead them to the next destination or direct them to perform a task. Giza Pyramid, Egypt Mt. Fuji, Japan Parthanon, Greece Pentagon, Washington, USA START The producers of the reality series want to produce a three-dimensional board game based on the popular television show. They have offered you $1000 to help in the design and production of the game. They plan to make 500 games and need to determine how much it will cost them. Knowing how much it costs them is important in determining what price they should charge for the game. Biophere, Montreal, Canada You will be providing them with the design and the cost of producing the games. You have already done quite a bit of work on the design and pricing of various components and are now at the point where you have to finish the design work of the five locations included in the race. You want to ensure that all the 3-D models of the locations are similar to the original though not necessarily all to the same scale. These 3-D models will be solid and made out of plaster. The producers want to see a sketch of each model with the key measurements indicated. You will produce those drawings as well in support of your calculations. (On the following pages, you have all the details you need.) Afterwards, you will make a recommendation for the price they should charge per game. They would like to make at least a 15% profit. This would be easy to figure out if they knew they would sell all 500 copies of their game but some people are saying they would be lucky if they sold even 50 games! You will have to support your recommendation with a graph and/or chart so that if the producers do not like your recommendation they can at least use the work you did to come up with a different conclusion. On the next page, you will find the information required to do your calculations. Certain measures have been rounded off and all the costs presented include taxes. Secondary Cycle Two Year One Amazing Race Context Page 1

4 First stop: The Parthenon, Greece The Parthenon is a temple of the Greek goddess Athena built in the 5th century BC on the Acropolis of Athens. Regarded as an enduring symbol of ancient Greece and of Athenian democracy, the Parthenon is one of the world's greatest cultural monuments. The Parthenon model is made up of two solids: a rectangular prism topped by a triangular prism. The width of the model is 3.5 cm, the length of the model is 7.9 cm, and the height, at its tallest, is 1.6 cm. The height of just the rectangular prism is 1.2 cm. Second stop: The Montreal Biosphere, Canada Montreal s Biosphere is a unique interactive museum whose intent is to raise awareness of the Saint-Lawrence River and the Great Lakes ecosystem. Built in 1967 as the American Pavilion at Expo 67, the structure had four platforms linked by a 37-metre long escalator, the longest ever built at the time. The structure is shaped like a sphere measuring 76 metres in diameter. As you can see in the picture at the left, it is not a complete sphere. The part that has been cut off represents 10% of its volume. In order to make the model, the dimensions of the Biosphere will be reduced by a scale factor of 1:2000. (Note: sketch the whole sphere with its appropriate dimension.) Third stop: The Great Pyramid of Giza, Egypt The square-based Pyramid of Giza is the oldest and largest of the three pyramids bordering Cairo, Egypt. It is believed to have been built as a tomb for the pharaoh Khufu and to have been constructed over a twenty-year period. It was the tallest structure in the world for over 3800 years at a height of m. The model has a height of 3.2 cm and a slant height of 4 cm. Fourth stop: Mount Fuji, Japan Mount Fuji is a well-known, snow-capped symbol of Japan that is frequently depicted in art and photographs. More than 200,000 people climb to the top of Mt. Fuji in any given year and 30% of them are foreigners. It is the highest mountain in Japan at a height of 3376 metres. The model will be a conical figure with a diameter of five centimetres. The height of the replica is times the actual height of the mountain. Secondary Cycle Two Year One Amazing Race Context Page 1

5 Final stop: The Pentagon, Washington The Pentagon is the headquarters of the United States Department of Defence located in Virginia. It is the highest capacity office building in the world and the fourth largest building in the world by floor area. It is a regular pentagon that has five sides, five floors, and five rings per floor with a total of 28.2 kilometres of corridors. The total floor area of the pentagon is m 2. The length of each wall is 280 metres. The model should be 3 mm high. The area of the base of the model to the actual should respect the ratio of 1: Costs and Requirements You must determine what the cost is for producing 500 games. You will only need the materials listed below, but you will have to determine how much / many of each you will need. Tubs of plaster (250 ml) $2.50 per tub Player pieces 4 per game $0.50 each Cards & Envelopes 20 sets per game $0.08 each Dice 2 per game $0.10 each Playing board (already printed) 1 per game $4.20 each Box (already printed) 1 per game $2.50 each Secondary Cycle Two Year One Amazing Race Context Page 2

6 Name: Before starting, make sure that you have all the important information needed in order to meet each requirement of this situation. Parthenon: Biosphere: Pyramid: Mt Fuji: Pentagon: Costs: Secondary Cycle Two Year One Amazing Race Context