To calculate the surface area of the triangular prism shaped tent, we need to find the areas of all the individual surfaces and then add them together.
1. Base Triangle:
Area of base triangle = 0.5 * base * height
Area of base triangle = 0.5 * 24ft * 20ft
Area of base triangle = 240 sq ft
2. Side Triangles (2 of them):
Area of side triangle = 0.5 * base * height
Area of side triangle = 0.5 * 20ft * 9ft
Area of side triangle = 90 sq ft
3. Front Rectangle:
Area of front rectangle = width * height
Area of front rectangle = 20ft * 9ft
Area of front rectangle = 180 sq ft
4. Back Rectangle:
Area of back rectangle = width * height * 0.5
Area of back rectangle = 20ft * 9ft * 0.5
Area of back rectangle = 90 sq ft
5. Top Triangle:
Area of top triangle = 0.5 * base * height
Area of top triangle = 0.5 * 24ft * 13.45ft
Area of top triangle = 160.8 sq ft
Now, adding up all the areas:
240 sq ft (base) + 90 sq ft (side 1) + 90 sq ft (side 2) + 180 sq ft (front) + 90 sq ft (back) + 160.8 sq ft (top) = 850.8 sq ft
Therefore, the surface area of the triangular prism shaped tent is approximately 850.8 sq ft.
Calculate the surface area of a triangular prism shaped tent if the height is 9 feet the length is 24 feet. The width is 20 feet and the hypotenuse of the cover is 13.45 feet.
A 1462.80 ft
B 1215.60 ft
C 982.8 ft
D 1305.60 ft
1 answer
1 answer