To find the surface area of the triangular prism created by cutting the sandwich in half diagonally, we first need to find the area of the two triangular faces and the three rectangular faces.
1. Triangular faces:
The area of a triangle can be calculated using the formula 1/2 * base * height. Since the base is 3.6 m and height is 0.44 m, the area of one triangle is:
1/2 * 3.6 * 0.44 = 0.792 m^2
Since there are two triangular faces, the total area of the triangular faces is:
2 * 0.792 = 1.584 m^2
2. Rectangular faces:
One rectangular face has dimensions of 5.1 m (hypotenuse) and 3.6 m (base of the triangle). The area of one rectangular face is:
5.1 * 3.6 = 18.36 m^2
Since there are three rectangular faces, the total area of the rectangular faces is:
3 * 18.36 = 55.08 m^2
Total surface area of the triangular prism:
1.584 + 55.08 = 56.664 m^2
Therefore, the correct answer is not provided in the options.
The 2005 world record for the longest sandwich is 3.6 m with the width of 3.6 m and thickness of 0.44 m if you cut the sand in half diagonally it would create a triangular prism with a hypotenuse use of 5.1 m apply the technique of using nets to find the surface area.(a) 12.98m^2 (b) 16.22m^2 (c) 18.37m^2
1 answer
1 answer