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 measuring devices. We determine the largest volume of measuring device with triangular base and obtain one with rectangular base which can measure up to 691 liters.
Partially supported by CONACyT-REDII projects.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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)
Nakamura, G.: Why Are Manhole Covers Round? Nihon Keizai Simbun Publishers (in Japanese) (1984)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Akiyama, J., Fukuda, H., Nakamura, G., Sakai, T., Urrutia, J., Zamora-Cura, C. (2001). Universal Measuring Devices Without Gradations. In: Akiyama, J., Kano, M., Urabe, M. (eds) Discrete and Computational Geometry. JCDCG 2000. Lecture Notes in Computer Science, vol 2098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47738-1_2
Download citation
DOI: https://doi.org/10.1007/3-540-47738-1_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42306-5
Online ISBN: 978-3-540-47738-9
eBook Packages: Springer Book Archive