Calculate the surface area of a triangular prism shape tint if the height is 9 ft the length is 24 ft the width is 20 ft and the hypotenuse is of the cover is 13.45 ft

Answer 1

To calculate the surface area of a triangular prism, we need to find the area of the two triangular bases and the three rectangular faces.

1. Calculate the area of the triangular bases:
The base of the triangle formula is: area = 0.5 * base * height
Area of the two triangular bases = 0.5 * 24 * 9 = 108 sq ft

2. Calculate the area of the three rectangular faces:
The area of a rectangular face is length * height
Area of the three rectangular faces = (20 * 9) + (24 * 9) + (20 * 24) = 180 + 216 + 480 = 876 sq ft

3. Add the areas of the triangular bases and the three rectangular faces:
Total surface area = 2 * 108 + 876 = 216 + 876 = 1092 sq ft

Therefore, the surface area of the triangular prism is 1092 square feet.