Question

in prisma triunghiulara regulata dreapta ABCA'B'C' se cunoaste latura bazei AB=24 cm si A'B=12√5. Calculati aria totala si volumul prismei

Answer 1

V= Ab x h (baza e un triunghi echilateral)
V= 24 x 24 cm√3 : 4 x 12√5 cm
V= 1728√15 cm ³

At= Al + 2 Ab
At= 3 x a x h + 2 x a² x √3 : 4
At= 3 x 24 x 12√5 + 2 x 24² x √3 :4
At= 864√5 + 288
At= 288 ( 3√5 + 1)