Answer:
Surface area of the triangular prism = 144 cm²
Step-by-step explanation:
Surface area of a triangular prism = Area of two triangular bases + Area of 3 lateral sides(rectangular sides)
Area of triangular base = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]
= [tex]\frac{1}{2}(3)(4)[/tex]
= 6 cm²
Area of one rectangular lateral side with sides 3 cm and 11 cm
= Length × width
= 3 × 11
= 33 cm²
Area of the lateral rectangular side with sides 4 cm and 11 cm
= 4 × 11
= 44 cm²
Area of the lateral rectangular side with sides 5 cm and 11 cm
= 5 × 11
= 55 cm²
Total area of lateral sides = 33 + 44 + 55 = 132 cm²
Surface area of the triangular prism = 2(6) + 132
= 144 cm²
Therefore, Surface area of the triangular prism = 144 cm²
