Question

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 high pretend use of 5.1 m apply the technique of using Nest to find the surface area

Answer 1

To find the surface area of the triangular prism created by cutting the sandwich in half diagonally, we can use the formula for the surface area of a prism:

Surface area = 2(base area) + (perimeter of base x height) + (2 x area of one triangular face)

First, let's calculate the base area of the triangular prism. Since the base is a right-angled triangle, we can use the formula for the area of a triangle:

Base area = 0.5 x base x height = 0.5 x 3.6m x 3.6m = 6.48 square meters

Next, let's calculate the perimeter of the base of the triangular prism:

Perimeter of base = sum of all sides of the base = 3.6m + 3.6m + 5.1m = 12.3 meters

Now, let's calculate the area of one triangular face of the prism. Since the triangle is a right-angled triangle, we can use the formula for the area of a triangle:

Area of one triangular face = 0.5 x base x height = 0.5 x 3.6m x 5.1m = 9.18 square meters

Now, we can plug these values into the surface area formula:

Surface area = 2(6.48) + (12.3 x 5.1) + (2 x 9.18)
Surface area = 12.96 + 62.73 + 18.36
Surface area = 93.05 square meters

Therefore, the surface area of the triangular prism created by cutting the sandwich in half diagonally is 93.05 square meters.