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)

Responses

982.8 ft.2
982.8 ft. squared

1,462.80 ft.2
1,462.80 ft. squared

1,305.60 ft.2
1,305.60 ft. squared

1,215.60 ft.2

3 answers

The surface area of the triangular prism-shaped tent can be calculated using the formula:

Surface Area = 2 * (Base Area) + (Lateral Area)

First, let's calculate the base area:
Base Area = (1/2) * base length * base width
Base Area = (1/2) * 24 ft. * 20 ft.
Base Area = 240 ft.2

Lateral Area = Perimeter of the base * Height
Perimeter of the base = Sum of the three sides = 24 ft. + 20 ft. + 13.45 ft.
Perimeter of the base = 57.45 ft.
Lateral Area = 57.45 ft. * 9 ft.
Lateral Area = 517.05 ft.2

Now, calculate the total surface area:
Surface Area = 2 * (240 ft.2) + 517.05 ft.2
Surface Area = 480 ft.2 + 517.05 ft.2
Surface Area = 997.05 ft.2

Therefore, the surface area of the triangular prism-shaped tent is approximately 997.05 ft.2.

Answer: 997.05 ft.2

pick one of the answers

982.8 ft.2