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)

Question

• 18.37 m?
• 16.22 m?
• 14.63 m2
• 12.98 m?

Answer 1

14.63 m²

To find the surface area of the triangular prism, we first need to find the area of each of the three rectangular faces and the area of the two triangular faces.

The area of each rectangular face can be calculated by multiplying the length and width:
Rectangular Face 1: 3.6m x 0.44m = 1.584m²
Rectangular Face 2: 3.6m x 0.44m = 1.584m²
Rectangular Face 3: 5.1m x 3.6m = 18.36m²

Next, we need to find the area of the two triangular faces. Since the two triangles are congruent, we only need to calculate the area of one triangle:
Area of Triangle = 1/2 x base x height
Area of Triangle = 1/2 x 3.6m x 5.1m = 9.18m²

Now, we sum up the areas of all the faces:
1.584m² + 1.584m² + 18.36m² + 9.18m² + 9.18m² = 40.896m²

Therefore, the surface area of the triangular prism created by cutting the sandwich in half diagonally is approximately 40.896m².

So none of the options provided is correct.