To find the surface area of the triangular prism created by cutting the sandwich in half diagonally, we first need to find the individual areas of the triangular faces and the three rectangular faces.
The triangular face has a base of 3.6 m and a height of 0.44 m. The area of a triangle is given by the formula A = 1/2 * base * height. Plugging in the values, we get:
A = 1/2 * 3.6 * 0.44
A = 0.792 m^2
Since there are two triangular faces in the prism, the total area for the triangular faces is 2 * 0.792 = 1.584 m^2.
Next, we find the area of the three rectangular faces. Two of the rectangular faces have dimensions of 3.6 m x 0.44 m, while the third rectangular face has dimensions of 3.6 m x 5.1 m.
The total area for the rectangular faces is calculated as:
2 * (3.6 * 0.44) + 3.6 * 5.1
= 3.168 + 18.36
= 21.528 m^2
Now, the total surface area of the triangular prism is the sum of the areas of the triangular faces and the rectangular faces:
1.584 + 21.528 = 23.112 m^2
Therefore, the surface area of the triangular prism created by cutting the sandwich in half diagonally is 23.112 square meters.
The 2005 world record for the longest sandwich is 3.6 m with a width of 3.6 m and a thickness of 0.44 m. If you cut the sandwich in half diagonally, it would create a triangular prism with a hypotenuse of 5.1 m apply the technique of using nets to find the surface area.
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