Princípio de Cavalieri como ferramenta para cálculo de volumes no ensino médio

Abstract

This work is a qualitative bibliographical research whose general objective is to discuss the Cavalieri principle as an important tool in the deduction of the main formulas of the calculation of volumes studied in high school. After all, every day, we are faced with situations involving volume and its calculation, so it is necessary that we appropriate its main geometric formulas, so that we use more safely in everyday situations. As our focus will be on High School, the Cavalieri Principle is presented in a satisfactory way. Being addressed in most of the textbooks that deal with volume calculation. We will present in this work the historical aspects about Bonaventura Cavalieri, the importance of the calculation of volumes in high school, besides suggesting an alternative way of working this principle with the use of GeoGebra Computational Software. Finally, we will discuss the relationship between the Cavalieri principle and stereology, seeking to give more practical meaning and support for students to appropriate this knowledge and use it in everyday situations and / or other areas of knowledge.