[tex]
\boxed{A_t = A_l + 2 \cdot A_b}\\ \\
A_l = P_b \cdot h = 4 \cdot 6 \cdot 9 = 216~cm^2 \\
\text{Cum facem aria bazei ?} \\
\to \text{1.Folosim formula asta} \to \boxed{\dfrac{3l^2\sqrt3}{2}} \\ \\
\to \text{sau} \\ \\
\to \text{2.Folosim aria }\Delta AOB \text{ care este echilateral si imultim cu 6.} \to \boxed{6\cdot \dfrac{l^2\sqrt3}{4}} \\ \\
A_b = 6\cdot \dfrac{4^2\sqrt3}{4} =24 \sqrt3 \\ \\
A_t = A_l + 2 \cdot A_b \\
A_t = 216 + 2 \cdot 24\sqrt3 \\
\boxed{A_t = \boxed{216 + 48\sqrt3~cm^2}} [/tex]
