Given:
Height = 4 mi
a = 6 mi
b (height of triangular surface) = 8 mi
c = 10 mi
Let's find the surface area of the triangular prism.
Here, we are to sum up the top surface area, bottom surface area and the lateral surface area.
We have:
Area of top surface = ½xbxh = ½ x 6 x 8 = 24 mi²
Area of bottom surface = ½xbxh = ½ x 6 x 8 = 24 mi²
Lateral surface area = (10 x 4) + (6 x 4) + (8 x 4) = 40 + 24 + 32 = 96 mi²
To find the surface area, we have:
Surafce area = 24 mi² + 24 mi² + 96 mi² = 144 mi²
Therefore, the surface area of the figure is 144 mi²
ANSWER:
144 mi²