Princípio de Cavalieri

1) Você sabe explicar o que são objetos ou medidas unidimensionais, bidimensionais e tridimensionais? Escreva com suas palavras.
2) Você sabe explicar o que é o VOLUME de um sólido geométrico ou de um corpo qualquer?
3)  Você lembra o que são Prismas, Cilindros, Pirâmides e Cones? Escreva com suas palavras a definição de cada um deles.
4) Agora reflita, é possível que dois sólidos geométricos distintos tenham o mesmo[br]volume?
5) O que você acha que deve ocorrer para que possamos afirmar que dois sólidos distintos tenham o mesmo volume? Tome como exemplo uma pirâmide e um cone.[br]
6) Vamos utilizar uma versão adaptada da construção intitulada de “O Princípio de Cavalieri” disponível publicamente na plataforma do Geogebra, no link https://www.geogebra.org/m/utx7gkhz, de autoria de Aroldo Eduardo Athias Rodrigues. A versão adaptada está disponível em [url=https://www.geogebra.org/m/nwwqwrgx]https://www.geogebra.org/m/nwwqwrgx[/url].
Autor: Aroldo Eduardo Athias Rodrigues.
4) Nesta construção você pode observar que existes vários sólidos geométricos na cor azul e outros na cor vermelho, além de três caixas de seleção “plano de corte”, “alturas” e “áreas”. Além disso tem um controle deslizante ao lado da caixa de seleção plano de corte. Vamos explorar as funcionalidades.[br]
a) O que você acha que significam as expressões u.c, u.a, u.v? Elas têm alguma relação com a resposta do item 1? [br]
b) O que acontece quando você clica nos sólidos de cor azul? E nos sólidos de cor vermelha?
c) O que acontece quando você marca e desmarca a caixa de seleção “plano de corte”?
d) O que acontece quando você marca e desmarca a caixa de seleção “alturas”?
e) O que acontece se você arrastar os pontos que aparecem nos pés da trave branca para cima? Para o que elas servem?
f) O que acontece quando você marca e desmarca a caixa de seleção “plano de corte”?
g) O que acontece quando você movimenta controle deslizante ao lado da caixa de seleção “plano de corte”?[br]
h) Agora explique como ocorre o funcionamento do applet e quais comparações ele realiza.[br]
8) O Princípio de Cavalieri fala sobre a igualdade entre os volumes (u.v) de dois ou mais sólidos quaisquer. A partir dessa informação preencha a tabela abaixo utilizando Sim ou Não:[br][img]data:image/png;base64,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[/img]
[br][br]9) Agora observe todas as duplas que possuem volumes iguais, o que você observa de interessante quanto à altura e a área das seções?[br][br]
10) E para as duplas que possuem volumes diferentes, o que você observa de interessante quanto à altura e a área das seções?[br][br]
11) Você consegue encontrar mais sólidos que possuem volumes iguais? Em caso positivo, todos respeitam a resposta da questão 9?
12)  Então se as alturas e as áreas das seções transversais são iguais os sólidos sempre terão o mesmo volume?[br]
13) Escreva com as suas palavras o que você compreendeu sobre o Princípio de Cavalieri.
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Information: Princípio de Cavalieri