Answer:
To find the surface area of the figure, we need to find the area of each face and then add them together.
First, we find the area of the rectangular prism on top with dimensions 16 m, 9.5 m, and 14 m:
Surface Area of the rectangular prism = 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14) = 2(152 + 133 + 224) = 2(509) = 1018 m²
Next, we find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:
Surface Area of the triangular prism = (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14) = (154 + 350.35 + 445.5) = 950.85 m²
Therefore, the total surface area of the figure is:
Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism
= 1018 m² + 950.85 m²
= 1968.85 m²
So, the surface area of the figure is 1968.85 square meters.
Explanation:
hope this helped:))