FM: Les piràmides d'Al·laia

Fa molt temps, a l’antic Egipte, hi vivia l’Al·laia, una noieta de 12 anys que somiava construir piràmides per honorar la seva emperadriu Nefertiti i al déu Osiris.[br][br]Al començament sempre pensava en piràmides quadrades i ho feia amb peces de construcció que les representava en un rotllo de pergamí amb tota mena de càlculs i dibuixos.[br][br]Fixeu-vos en el disseny de la piràmide de base quadrada de costat 4:
a) Useu el full isomètric de l’annex per dibuixar la vista tridimensional de les piràmides de base quadrada de costat 1, 2, 3 i 4. Què observes?[br][br]b) Quants blocs de pedra li caldrà per fer una piràmide de base quadrada de costat 10? Quants nivells té aquesta piràmide?[br][br]c) Quina és la diferència de blocs de pedra que hi ha entre dos nivells consecutius d’una piràmide qualsevol?[br][br]d) Fa temps va calcular que en una piràmide quadrada molt grossa la base tenia 99 blocs cúbics més dels que hi havia al segon nivell. Quants blocs cúbics hi havia a la base d’aquella piràmide? Quants nivells tindria aquella gran piràmide?
Solucions
a) Useu el full isomètric de l’annex per dibuixar la vista tridimensional de les piràmides de base quadrada de costat 1, 2, 3 i 4. Què observes?[br][img]data:image/png;base64,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[/img][br][br]b) Quants blocs de pedra li caldrà per fer una piràmide de base quadrada de costat 10? Quants nivells té aquesta piràmide?[br][br][math]1^2+2^2+3^2+....+10^2=1+4+9+...+100=385[/math][br][br]c) Quina és la diferència de blocs de pedra que hi ha entre dos nivells consecutius d’una piràmide qualsevol?[br][br][img]data:image/png;base64,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[/img][br][br][br]
d) Fa temps va calcular que en una piràmide quadrada molt grossa la base tenia 99 blocs cúbics més dels que hi havia al segon nivell. Quants blocs cúbics hi havia a la base d’aquella piràmide? Quants nivells tindria aquella gran piràmide?[br][br][color=#ff0000][b]Com ho han calculat?[/b][/color]

Information: FM: Les piràmides d'Al·laia