How to fairly share a watermelon

Timoteo Carletti, Duccio Fanelli, Alessio Guarino

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Geometry, calculus and in particular integrals, are too often seen by young students as technical tools with no link to the reality. This fact generates a loss of interest in students with a consequent removal of motivation in the study of such topics and more widely in pursuing scientific curricula. With this note we put to the fore a simple example of practical interest where the above concepts prove central; our aim is thus to motivate students and to reverse the dropout trend by proposing an introduction to the theory starting from practical applications. More precisely, we will show how using a mixture of geometry, calculus and integrals one can easily share a watermelon into regular slices with equal volume.
Original languageEnglish
Article number015010
Pages (from-to)015010
Number of pages8
JournalPhysics Education
Issue number1
Publication statusPublished - 4 Dec 2020


  • geometry
  • Measurement
  • intergral calculation
  • Archimedes principle
  • density
  • Experimental mathematics


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