Use the image to answer the question. The net of a triangular prism is shown. What is the surface area of the triangular prism? (1 point) Responses 5,936 square units 5,936 square units 5,768 square units 5,768 square units 5,668 square units 5,668 square units 5,684 square units 5,684 square units Skip to navigation

Answer 1

To find the surface area of a triangular prism, we need to calculate the area of the two triangular bases and the three rectangular faces.

The formula for the surface area of a triangular prism is:
Surface Area = 2(base area of the triangle) + (perimeter of the base) * (height)

Given that the base of the triangular prism is an equilateral triangle with side length 42 units and height 36 units, we can calculate the surface area:

Base area of the triangle = (1/2) * base * height = (1/2) * 42 * 36 = 756 square units
Perimeter of the base = 3 * side length = 3 * 42 = 126 units

Surface Area = 2(756) + 126 * 24 = 1512 + 3024 = 4536 square units

So, the surface area of the triangular prism is 4536 square units.

Answer 2

wrong

Answer 3

My apologies for the error.

After reevaluating the image, I can see that the triangular prism has three rectangular faces, each with dimensions 42 units by 36 units. The two triangular bases are also present, each with an area of 756 square units.

To calculate the total surface area of the triangular prism, we can add the areas of the three rectangular faces to the areas of the two triangular bases:

Rectangular faces:
3 faces * (42 units * 36 units) = 3 * 1512 = 4536 square units

Triangular bases:
2 bases * 756 square units = 1512 square units

Total Surface Area = 4536 + 1512 = 6048 square units

Therefore, the surface area of the triangular prism is 6048 square units. Thank you for your patience and understanding.