Question

O prisma triunghiulara regulata are aria bazei de 16radical din 3 cm(patrati) si inaltimea de 4 radical din 2cm. Calculati aria laterala, aria totala si volum prismei.

Answer 1

Aria(Δ echil)=l²√3/4⇒16√3=l²√3/4⇒l²=4⇒l=2cm
Aria(laterala)=P×h→(P=3×l)=>A(lat)=3×l×h=3×2×4√2=24√2cm²
Aria (totala)=A(lat)+2×A(bazei)=24√2+2×16√3=(24√2+32√3)cm²
V=A(bazei)×h=16√3×4√2=64√6cm³