Answer:
Surface area of the given prism = 63 square feet
Step-by-step explanation:
Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles
Area of triangular bases = 2[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]] (Since the bases of this prism are right triangles)
= 3 × 3
= 9 square ft
Area of one vertical rectangular face = (Length × Width)
= (3 × 6)
= 18 square feet
Area of all vertical sides = 3 × 18 = 54 square feet
Total surface area = 9 + 54 = 63 square feet