Calculate the surface area of a triangular prism shaped tent if the height is 9 ft., the length is 24 ft., the width is 20 ft., and the hypotenuse of the cover is 13.45 ft.(1 point)
The surface area of a triangular prism can be calculated by finding the area of each of the faces and adding them together.
1. Calculate the area of the two triangular faces:
- Area = 0.5 * base * height
- Area = 0.5 * 24 * 9
- Area = 108 square feet
2. Calculate the area of the rectangular face:
- Area = length * width
- Area = 24 * 20
- Area =480 square feet
3. Add the areas of the two triangular faces and the rectangular face:
108 + 108 + 480 = 696 square feet
Therefore, the surface area of the triangular prism-shaped tent is 696 square feet.