Universal Measuring Devices Without Gradations

  • Jin Akiyama
  • Hiroshi Fukuda
  • Gisaku Nakamura
  • Toshinori Sakai
  • Jorge Urrutia
  • Carlos Zamora-Cura
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2098)

Abstract

Measuring cups are everyday instruments used to measure a required amound of liquid for many common tasks such as cooking, ...etc. A measuring cup usually has gradations marked on its sides. In this paper we study measuring devices without gradations but which nevertheless can measure any integral amount, say liters, of liquid up to their full capacity. These devices will be called universal measuringdevices. We determine the largest volume of measuring device with triangular base and obtain one with rectangular base which can measure up to 691 liters.

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References

  1. 1.
    Akiyama, J., Hirano, Y., Kawamura, K., Matsunaga, K., Nakamura, G., Watanabe, Y.: Models and Experiments of Mathematics for Junior High School and High School Students Vol.2. Suken Shuppan (in Japanese) (1999)Google Scholar
  2. 2.
    Nakamura, G.: Why Are Manhole Covers Round? Nihon Keizai Simbun Publishers (in Japanese) (1984)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jin Akiyama
    • 1
  • Hiroshi Fukuda
    • 2
  • Gisaku Nakamura
    • 1
  • Toshinori Sakai
    • 1
  • Jorge Urrutia
    • 3
  • Carlos Zamora-Cura
    • 3
  1. 1.Research Institute of Education DevelopmentTokai UniversityShibuya-ku TokioJapan
  2. 2.School of Administration and InformaticsUniversity of ShizuokaJapan
  3. 3.Instituto de MatemáticasUniversidad Nacional Autónoma de MéxicoMéxico D.F.

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