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Poliedre PRISMA

Poliedre PRISMA. Felul prismei. Prisma: -triunghiulara-bazele sunt triunghiuri( ABC-triunghi echilateral); -patrulatera-regulata ( ABCD-patrat ); -paralelipiped- si bazele si fetele laterale sunt paralelograme;

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Poliedre PRISMA

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  1. PoliedrePRISMA

  2. Felul prismei • Prisma: • -triunghiulara-bazele sunt triunghiuri(ABC-triunghi echilateral); • -patrulatera-regulata(ABCD-patrat); • -paralelipiped- si bazele si fetele laterale sunt paralelograme; • Paralelipiped-drept- bazele sunt paralelograme si fetele laterale dreptunghiuri; • -dreptunghic- si bazele si fetele laterale sunt dreptunghiuri; • Cub- are toate fetele patrate.

  3. Prisma • Prisma este poliedrul cu 2 fete opuse paralele si muchiile laterale paralele si congruente. • Prisma regulata dreapta este prisma cu fetele paralele si perpendiculare pe planele bazelor ,iar bazele poligoane regulate.

  4. Elementele prismei • Varfuri- puncte determinate de intersectia a trei plane:A,B,C,D,A’,B’,C’,D’; • Muchiile-drepte determinate de intersectia a doua plane -bazelor:AB,BC,AD,AC,A’B’,B’C’,A’D’,A’C’; -laterale:AA’,BB’,CC’,DD’. • Felul-bazelor:ABCD//A’B’C’D’ -fetele laterale:ABB’A’,BCC’B’,ADD’A’,ACC’A’. • Înaltimea este distanta dintre cele doua baze.

  5. Prisma patrulatera Formule Alat=2(L+l)·h Atot=2(L·l+L·h+l·h) V=L·l·h

  6. Cubul Cubul este poliedrul care are toate fetele patrate. Formule Alat=4·l² Atot=6·l² V=l³

  7. Prisma regulata • Prisma regulata • n-numarul de laturi al bazei • ln-latura bazei • h-inaltimea prismei-distanta dintre baze • ml-muchii laterale • Arialat =n.l.h·=Pb·h • Ariatot=Pb.h+2.Ab • Vn(volumul)=Ab·h

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