First, we need to find the area of the triangular ends of the prism. The base of the triangle is the width of the tent, which is 20 ft, and the height is the height of the prism, which is 9 ft. So, the area of each triangular end is:
1/2 x base x height = 1/2 x 20 ft x 9 ft = 90 sq ft
Next, we need to find the area of the rectangular sides of the prism. The length of the prism is 24 ft and the height is 9 ft, so the area of each side is:
length x height = 24 ft x 9 ft = 216 sq ft
Finally, we need to add up the areas of the two ends and the four sides to find the total surface area:
2 x 90 sq ft + 4 x 216 sq ft = 180 sq ft + 864 sq ft = 1044 sq ft
Therefore, the surface area of the tent is 1044 square feet.
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
1 answer
1 answer