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Area and Volume [electronic resource]

Video; Computer Resource; Online Video; Online
What are the geometric principles behind the sinking of the Titanic-and how is a ship of its size able to float in the first place? This program examines applications of area and volume, using the Titanic, the Louvre's Glass Pyramid, and New York's CitiGroup Building to illustrate the concepts of volume and density, surface area, and surface area-to-volume ratio. Knowing the proportion of the Citigroup's surface to its interior space is the first step in determining how the building can be kept cool in summer and warm in winter. Its unusual shape-a combination of a square and a triangular prism, with a 45-degree-angled roof and stilt-like base-adds complexity to the calculation.
Release Date
Run Time
30 min.
Access requires authentication through Films on Demand
6 & up
  • Encoded with permission for digital streaming by Films Media Group on October 09, 2011.
  • Films on Demand is distributed by Films Media Group for Films for the Humanities & Sciences, Cambridge Educational, Meridian Education, and Shopware.
Geometry Applications
Geometry applications (New York, N.Y.)
  • Volume and Density (1:53)
  • Geometry of Density (2:01)
  • Density Exploration on TI-Nspire (3:30)
  • Hull of Titanic: Triangular Prism (2:08)
  • Density and the Hull of the Titanic (3:33)
  • Calculations: Sinking of the Titanic (2:40)
  • Surface Area of Pyramids (3:26)
  • Isosceles Triangle on TI-Nspire (3:35)
  • Length and Height of Pyramid (1:33)
  • TI-Nspire Concepts (2:05)
  • Construction of Rhombus Shape (2:56)
  • Surface Area of Glass Pyramid (1:45)
  • Surface Area to Volume Ratio (2:29)
  • Shape Determination (0:55)
  • TI-Nspire Exploration (2:14)
  • Energy Efficiency of Tall Buildings (1:35)
  • Credits: Area and Volume (0:10)
New York, N.Y. : Films Media Group, [2011], c2010.
Publisher no.
  • 44695s Films Media Group
  • 44703 Films Media Group
Access Restriction
Access requires authentication through Films on Demand.
1 streaming video file (30 min.) : sd., col., digital file.
Mode of access: Internet.
System requirements: FOD playback platform.
Technical Details
  • Access in Virgo Classic
  • Staff View