Answer:
The total surface area of the figure is approximately 10.2 m²
Explanation:
The dimensions of the solid are;
The shape of the solid = An half cylinder
The diameter of the cylinder, D = 1.6 m
The length of the cylinder, l = 2 m
The surface area of the curved part of the solid = π × D × l ÷ 2
Therefore;
The surface area of the curved part of the solid = π × (1.6 m) × 2 m/2 ≈ 5.03 m²
The area of the curved surface, V = 5.03 m²
The area of the rectangular top, A = 1.6 m × 2 m = 3.2 m²
The area surface of the semi-circular sides of the figure = 2 × π·D²/4 ÷ 2
Therefore;
The area surface of the semi-circular sides of the figure = 2 ×π × (1.6 m)²/4 ÷ 2 ≈ 2.01 m²
The total surface area of the figure, A = 5.03 m² + 3.2 m² + 2.01 m² = 10.24 m²
The total surface area of the figure ≈ 10.2 m² (rounding to 1 decimal place)