The 2005 world record for the longest sandwich is 3.6 meters with a width of 3.6 meters and a thickness of 0.44 meters. If you cut the sandwich in half diagonally, it would create a triangular prism with a hypotenuse of 5.1 meters. Apply the technique of using nets to find the surface area.(1 point) Responses 14.63 m2 14.63 m squared 16.22 m2 16.22 m squared 12.98 m2 12.98 m squared 18.37 m2. Please Apply the technique os using nets to find the surface area to find the answer ok?
To find the surface area of the triangular prism created by cutting the sandwich in half diagonally, we will first find the area of each of the three faces.
1. Base: The base of the prism is a right triangle with legs of 3.6 meters and 3.6 meters. The area of the base can be found using the formula for the area of a triangle: 0.5 x base x height. Therefore, the area of the base is 0.5 x 3.6 x 3.6 = 6.48 square meters.
2. Two Lateral Faces: The two lateral faces of the prism are rectangles with dimensions of 3.6 meters by 5.1 meters (the hypotenuse of the right triangle). The area of each lateral face is the product of the length and width, so the area of each lateral face is 3.6 x 5.1 = 18.36 square meters. Since there are two lateral faces, the total area of the lateral faces is 2 x 18.36 = 36.72 square meters.
Now, we can find the total surface area of the triangular prism by adding the areas of the base and the two lateral faces:
Total Surface Area = Base Area + Lateral Face Area
Total Surface Area = 6.48 + 36.72
Total Surface Area = 43.2 square meters
Therefore, the surface area of the triangular prism created by cutting the sandwich in half diagonally is 43.2 square meters.