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Sydney Opera House Math




By: Kaytlyn Kelley
Fall 2011
History of the House
       (number & operations)
   The Sydney Opera House
    project took 19 years in total.
    In 1954, a committee was set
    up with the main goal of
    creating the House. Danish
    architect Jorn Utzon’s design
    was chosen as the framework
    for the building in 1957. The
    construction began in 1959 but
    was delayed on multiple
    occasions due to unrealistic
    plans and costs. The first
    performance didn’t occur until
    September 28, 1973 with the
    production of War and Peace
    and the building was officially
    opened by Queen Elizabeth II
    on October 20th of that year.
Cost Concerns
(data analysis & probability)
                                   One of the first steps in
                                    creating the opera house
                                    was setting up an appeal
                                    fund to raise money. It
                                    was expected that the
                                    building would cost $AU 7
                                    million. The initial fund
                                    raised only 12% of that
                                    reaching $AU 900,000.
                                    The Opera House
                                    Lotteries were set up as
                                    an attempt to raise the
                                    remaining money. The
                                    House ended up costing
                                    $AU 102 million, which
                                    profits from the lottery
                                    were able to cover. The
                                    state’s government covers
                                    30% of the costs a year to
                                    maintain the building.
Size
(measurement)

   The Sydney Opera House is 185 meters
    (606 ft. 11 in.) long. It is 120 meters (393 ft.
    8 in.) wide.
Design
  (geometry)




The structure of the Sydney Opera House is that of beautiful and
advanced architecture and technology. The shapes involved in creating it
include a rectangular base. The well-designed sails are created from
spheres but have been restructured to include obtuse and acute angles
and create a look of a dozen isosceles triangles.
Seating Selections
(number & operations)

                           There are 100
                            different rooms in the
                            House, including the
                            main 5
                            venues, which seat a
                            total of 5, 532
                            people. The Concert
                            Hall holds 2,679, the
                            Opera Theatre holds
                            1,547, the Drama
                            Theatre holds
                            544, the Playhouse
                            holds 398, and the
                            Studio holds 364
                            people.
Ticket Pricing
       (algebra)

   In 2008, the average
    ticket price for a
    show at the House
    was $AU 76.60. The
    profit made for these
    tickets for the year
    was a total of $AU
    1,061,273,304. This
    means that
    15,823,705 total
    tickets were sold that
    year.
Utzon’s Room
(measurement)
   Utzon’s legacy was not forgotten after the Opera
    House was built. The smallest and one of the
    newest rooms in the House is dedicated solely to
    him. On one wall contains a 14 meter (45 ft. 11
    in.) long beautifully colored tapestry, which is
    Utzon’s first decorative artwork.
The Concert Hall
       (geometry)

   One of the things the
    Opera House is
    known for the most
    is the acoustics of
    their largest hall. The
    total volume of the
    room is 26,400 cubic
    meters (880,000
    cubic feet). The
    room includes 18
    adjustable acoustic
    acrylic rings
    suspended above
    the stage, which
    assist the sound
    quality of the music.
Sydney Oprah
(data analysis & probability)
   In 2010, Australian tourism programs created a plan to target
    the traveling American middle class through the use of icon
    Oprah. She brought herself and 300 lucky American winners
    to Australia to travel to various locations. Two of her talk
    shows were taped at the Sydney Opera House. It was
    expected she would bring in approximately $47 million in
    tourism revenue. They would reveal top sites for vacationing
    in hopes of generating plans of future trips by American
    families.
Attendance
(number & operations)




   The Opera House has a total of
    approximately 2,200,000 paying visitors a
    year. 200,000 of those individuals receive
    guided tours. 2,000,000 of them attend one of
    the 3000 shows shown throughout the year.
Top Ten
(data analysis & probability)

                                   As of September of
                                    this year, the
                                    Sydney Opera
                                    House was the 10th
                                    most photographed
                                    building in the
                                    world based on the
                                    largest online
                                    photo
                                    resource, Alamy
                                    website.
My Australia
       (number & operations)

   This year, I spent a total of
    10 days in
    Sydney, Australia. Of
    those 10 days, I went to
    the Opera House a total of
    6 days. This means I
    spent 1.64% of my year at
    the Sydney Opera House.
Works Cited
   http://australia.gov.au/about-
    australia/australian-story/sydney-opera-
    house
   http://www.lilburnes.org/Students/Media2/Syd
    ney/Geometry_Sydney.html
   http://www.gids.nl/sydney/opera.html
   http://www.liveperformance.com.au/site/_cont
    ent/document/00000105-source.pdf
   http://www.dailytelegraph.com.au/entertainme
    nt/sydney-confidential/the-sydney-oprah-
    show-finally-gets-under-way/story-e6frewz0-
    1225966658819
   http://www.alamy.com/pressreleases/2011/top
    _10_most_photographed_buildings.asp

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Sydney Opera House eNotebook

  • 1. Sydney Opera House Math By: Kaytlyn Kelley Fall 2011
  • 2. History of the House (number & operations)  The Sydney Opera House project took 19 years in total. In 1954, a committee was set up with the main goal of creating the House. Danish architect Jorn Utzon’s design was chosen as the framework for the building in 1957. The construction began in 1959 but was delayed on multiple occasions due to unrealistic plans and costs. The first performance didn’t occur until September 28, 1973 with the production of War and Peace and the building was officially opened by Queen Elizabeth II on October 20th of that year.
  • 3. Cost Concerns (data analysis & probability)  One of the first steps in creating the opera house was setting up an appeal fund to raise money. It was expected that the building would cost $AU 7 million. The initial fund raised only 12% of that reaching $AU 900,000. The Opera House Lotteries were set up as an attempt to raise the remaining money. The House ended up costing $AU 102 million, which profits from the lottery were able to cover. The state’s government covers 30% of the costs a year to maintain the building.
  • 4. Size (measurement)  The Sydney Opera House is 185 meters (606 ft. 11 in.) long. It is 120 meters (393 ft. 8 in.) wide.
  • 5. Design (geometry) The structure of the Sydney Opera House is that of beautiful and advanced architecture and technology. The shapes involved in creating it include a rectangular base. The well-designed sails are created from spheres but have been restructured to include obtuse and acute angles and create a look of a dozen isosceles triangles.
  • 6. Seating Selections (number & operations)  There are 100 different rooms in the House, including the main 5 venues, which seat a total of 5, 532 people. The Concert Hall holds 2,679, the Opera Theatre holds 1,547, the Drama Theatre holds 544, the Playhouse holds 398, and the Studio holds 364 people.
  • 7. Ticket Pricing (algebra)  In 2008, the average ticket price for a show at the House was $AU 76.60. The profit made for these tickets for the year was a total of $AU 1,061,273,304. This means that 15,823,705 total tickets were sold that year.
  • 8. Utzon’s Room (measurement)  Utzon’s legacy was not forgotten after the Opera House was built. The smallest and one of the newest rooms in the House is dedicated solely to him. On one wall contains a 14 meter (45 ft. 11 in.) long beautifully colored tapestry, which is Utzon’s first decorative artwork.
  • 9. The Concert Hall (geometry)  One of the things the Opera House is known for the most is the acoustics of their largest hall. The total volume of the room is 26,400 cubic meters (880,000 cubic feet). The room includes 18 adjustable acoustic acrylic rings suspended above the stage, which assist the sound quality of the music.
  • 10. Sydney Oprah (data analysis & probability)  In 2010, Australian tourism programs created a plan to target the traveling American middle class through the use of icon Oprah. She brought herself and 300 lucky American winners to Australia to travel to various locations. Two of her talk shows were taped at the Sydney Opera House. It was expected she would bring in approximately $47 million in tourism revenue. They would reveal top sites for vacationing in hopes of generating plans of future trips by American families.
  • 11. Attendance (number & operations)  The Opera House has a total of approximately 2,200,000 paying visitors a year. 200,000 of those individuals receive guided tours. 2,000,000 of them attend one of the 3000 shows shown throughout the year.
  • 12. Top Ten (data analysis & probability)  As of September of this year, the Sydney Opera House was the 10th most photographed building in the world based on the largest online photo resource, Alamy website.
  • 13. My Australia (number & operations)  This year, I spent a total of 10 days in Sydney, Australia. Of those 10 days, I went to the Opera House a total of 6 days. This means I spent 1.64% of my year at the Sydney Opera House.
  • 14. Works Cited  http://australia.gov.au/about- australia/australian-story/sydney-opera- house  http://www.lilburnes.org/Students/Media2/Syd ney/Geometry_Sydney.html  http://www.gids.nl/sydney/opera.html  http://www.liveperformance.com.au/site/_cont ent/document/00000105-source.pdf  http://www.dailytelegraph.com.au/entertainme nt/sydney-confidential/the-sydney-oprah- show-finally-gets-under-way/story-e6frewz0- 1225966658819  http://www.alamy.com/pressreleases/2011/top _10_most_photographed_buildings.asp