Answer:
Surface Area = 63.5 ft².
Explanation:
Length: 3.5 ft
Width: 4.5 ft
Height: 2 ft.
Surface Area = 2(Area of Base) + (Perimeter of Base) × Height
Area of Base = Length × Width
Area of Base = 3.5 ft × 4.5 ft = 15.75 ft²
Perimeter of Base = 2(Length) + 2(Width)
Perimeter of Base = 2(3.5 ft) + 2(4.5 ft) = 7 ft + 9 ft = 16 ft
Substitute these values into the surface area formula:
Surface Area = 2(Area of Base) + (Perimeter of Base) × Height
Surface Area = 2(15.75 ft²) + (16 ft) × (2 ft)
Surface Area = 31.5 ft² + 32 ft²
Surface Area = 63.5 ft²
Therefore, the surface area of the given prism with dimensions 3.5 ft, 4.5 ft, and 2 ft is 63.5 ft².