Question

Va rog problema 17
Imi trebuie URGENT

Answer 1

Răspuns:

Explicație pas cu pas:

dif pe verticala intre diagonala bazei si cea a topului

diag baza =L*r2=26r2*r2=52

diag top = 14r2*r2=28

semidif intre diagonale orizontale =1/2*(52-28)=12

inaltimea tr piramidei  H=(41^2-(52-12)^2)^0.5=9

muchia tr piramidei  este = (9^2+12^2)^0.5=15

distanta dintre muchia baza si muchia top =

(15^2-r2*(26-14)/2)^2)^0.5=12.37

a)   aria laterala tr de pir = r2*(26+14)/2*12.37*4= 1400cmp

volumul tr de pir  =  (2*14^2+2*26^2)/4*9=3924 cmc

inaltimea laterala a tr de pir = 13r2*12.37/(r2*(26-14)/2)=26.8cm

b)   Aria lat  pir  = 1400+(26.8-12.37)*r2*14/2*4=1971cmp

H pir = 9*26/12=19.5 cm

Vol pir = 19.5* 2*26^2/4=6591cmc

c)   H800= 12.37*(26r2- r800)/(26r2-14r2) =6.17cm