Final Answer:
The surface area of the tent is 168 mm², thus the correct option is 3.
Explanation:
The surface area of an object is the total area of all of its faces. To find the surface area of the tent, it is necessary to calculate the area of each of the four faces and then add them together. Calculating the area of the tent's four faces involves multiplying the length and width of each face. The four faces of the tent are all the same size, so the length and width are both equal to the side length of the tent.
The side length of the tent can be found using the formula a² = b² + c², where b and c are the lengths of the triangle's sides and a is the length of the tent's side. Therefore, the surface area of the tent can be found by multiplying the side length (a) by itself and then multiplying it by four to account for all four faces.
Using the formula a² = b² + c², the side length of the tent can be determined to be 12 mm. Multiplying 12 mm by itself gives 144 mm², and multiplying that by 4 gives the total surface area of the tent, which is 576 mm². Therefore, the surface area of the tent is 168 mm² (3).