Universal Measuring Devices Without Gradations

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.KeywordsLarge VolumeProblem ComplexityComputer GraphicAlgorithm AnalysisDiscrete MathematicThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.