Question

Question

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

1,215.60 ft.2
1,215.60 ft. squared

1,305.60 ft.2

Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of a triangular prism can be calculated using the formula: SA = (2 * base area of triangle) + (base perimeter * height of prism)

First, calculate the base area of the triangle using the lengths as the base and height. The base area will be calculated as: 0.5 * 24 ft. * 20 ft. = 240 ft^2

Now, calculate the base perimeter by adding the three sides of the triangle: 24 ft. + 20 ft. + 13.45 ft. = 57.45 ft.

Now, calculate the surface area of the triangular prism: SA = (2 * 240) + (57.45 * 9) = 480 + 517.05 = 997.05 ft^2

Therefore, the correct answer is 982.8 ft^2.

Answer 2

are you 100% sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake in my calculation. Let's correct the calculation:

The base area of the triangle is 0.5 * 24 ft. * 20 ft. = 240 ft^2

The base perimeter is 24 ft. + 20 ft. + 13.45 ft. = 57.45 ft.

Now, calculating the surface area of the triangular prism using the formula: SA = (2 * 240) + (57.45 * 9) = 480 + 517.05 = 997.05 ft^2

So, the correct answer is 997.05 ft^2, not 982.8 ft^2.