Abstract
This monograph discusses plane and spatial geometry in order to investigate the approach of the topics of areas and volumes in selected textbooks, as well as to study the theoretical prerequisites and the Cavalieri's Principle in detail. The objective of this work is to present a didactic proposal that promotes the skills EM13MAT201 and EM13MAT504 within competencies 2 and 5, respectively, for the Mathematics and Technologies area of the National Common Curricular Base - BNCC. Thus, a sequential study is proposed that culminates in a didactic proposal in order to guide Basic Education teachers with respect to the topic.