SURFACE AREA & VOLUME OF FAMOUS BUILDINGS AROUND THE WORLD. Below is a list of famous buildings and structures. Your Task: Investigate the history of two famous buildings (or structures) of your choice. Write down some facts about the building as well as all formulas you will use in your investigation. Include more photos! Add empty pages under your choice and present your work. You can do the calculations on paper and paste a photo in the document. 1.Capital Hill – Parliament House. (1) Name the geometrical shapes you can see. (2) Take the ‘block’ of land to be 2000m by 1000m. Let the shapes on the longer side to be semi-circles whose ends go right to the corner. Let the shape on the left have a base length 1000m, a shorter top length of 500m, and the distance between them to be 750m. Let the shape on the right be another semi-circle with diameter 500m. Therefore, what is the area of the grass around the shapes mentioned above. 2.One of the Original Plans for Canberra (1912) What area would it cover if each ‘block’ was 500 m wide and 200 long? 3.Academy of Science – Canberra The Shine Dome Imagine the building is a hemisphere (which it isn’t) with a diameter of 45.75 m . What is the surface area & volume of the structure? 4.Australia Square - Sydney Built in the shape of a cylinder. Height 170m, diameter 42m. What is the surface area & volume of the structure? 5.Square Head, Nice, France. Cube with side length 15m What is the surface area & volume of the structure? 6.Trump World Tower, New York Cuboid with height 262 m, length 48 m, and width 24 m What is the surface area & volume of the structure? 7.Flatiron Building, New York Prism with height 87 m, cross section is a right-angled triangle with height 61 m and base length 30 m. What is the surface area & volume of the structure? 8.Corficolombiana Building, Bogota, Colombia Prism with height 56 m, cross section is an equilateral triangle with side length 44 m. What is the surface area & volume of the structure? 9.John Hancock Tower, Boston, USA Prism with height 241 m. cross section is a parallelogram with measurements shown below. What is the surface area & volume of the structure? 10.JPMorgan Chase Tower, Houston, USA Prism with height 305 m, cross section is a square with an isosceles triangle removed. What is the surface area & volume of the structure? 11.Great Pyramid of Giza, Egypt Square-based pyramid with height 139 m and base width 230 m. What is the surface area & volume of the structure? 12.Transamerica Pyramid, San Francisco, USA Square-based pyramid with height 260 m and base width 53 m. What is the surface area & volume of the structure? 13.Cathedral of Maringa Cone with height 124 m and base diameter 20 m. What is the surface area & volume of the structure? 14.Metropolitan Cathedral, Rio de Janeiro, Brasil Conical frustum with height 75 m, base diameter 105 m, and top diameter 35 m. What is the surface area & volume of the structure? 15.Spaceship Earth, Walt Disney World, USA Sphere with diameter 50 m. What is the surface area & volume of the structure? 16.The Eiffel Tower, Paris, France. Let’s pretend that the Eiffel Tower is a square pyramid with outer base dimensions and height given below What is the surface area & volume of the structure? 17.Big Ben, London, UK. A composite solid with dimensions given in drawing. What is the surface area & volume of the structure? You need to know:. I ft = 0.03408m 18.The Leaning Tower of Pisa, Italy. What solid would it be if it wasn’t leaning? What is the surface area & volume of the structure? Explain the differing measurements for the height in this picture.
