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.

Question

(1 point)
O 1,215.60 ft.?
O 1,462.80 ft.?
O 982.8 ft.?
O 1, 305.60 ft.?

Answer 1

First, we need to calculate the surface area of the triangular ends of the prism. The formula for the area of a triangle is 0.5 * base * height.

For the first end:
Area = 0.5 * 24 ft. * 9 ft. = 108 sq. ft.

For the second end:
Area = 0.5 * 20 ft. * 9 ft. = 90 sq. ft.

Next, we need to calculate the surface area of the rectangular sides of the prism.
The formula for the area of a rectangle is length * width.

For the first side:
Area = 24 ft. * 20 ft. = 480 sq. ft.

For the second side:
Area = 24 ft. * 20 ft. = 480 sq. ft.

Therefore, the total surface area of the triangular prism shaped tent is:
108 sq. ft. (first end) + 90 sq. ft. (second end) + 480 sq. ft. (first side) + 480 sq. ft. (second side) = 1,158 sq. ft.

So, the correct answer is O 1,215.60 ft.²