Answer: The surface area of the triangular prism with dimensions 30 ft, 36 ft, 30 ft, 32 ft, and 24 ft is 4116 square feet.
Step-by-step explanation:Area = 0.5 x base x height
The first triangular face has a base of 30 ft and a height of 36 ft. So, its area is:
Area of first triangle = 0.5 x 30 ft x 36 ft = 540 square feet
The second triangular face has a base of 32 ft and a height of 24 ft. So, its area is:
Area of second triangle = 0.5 x 32 ft x 24 ft = 384 square feet
Next, we need to find the area of the three rectangular faces. Each rectangular face has an area equal to the length times the width. We have three rectangular faces with dimensions:
30 ft x 36 ft
30 ft x 32 ft
36 ft x 32 ft
So, the area of each rectangular face is:
Area of first rectangular face = 30 ft x 36 ft = 1080 square feet
Area of second rectangular face = 30 ft x 32 ft = 960 square feet
Area of third rectangular face = 36 ft x 32 ft = 1152 square feet
Finally, we can find the total surface area by adding up the areas of all the faces:
Total surface area = Area of first triangle + Area of second triangle + Area of first rectangular face + Area of second rectangular face + Area of third rectangular face
Total surface area = 540 sq ft + 384 sq ft + 1080 sq ft + 960 sq ft + 1152 sq ft
Total surface area = 4116 square feet
Therefore, the surface area of the triangular prism with dimensions 30 ft, 36 ft, 30 ft, 32 ft, and 24 ft is 4116 square feet.