Find total surface area of a triangular prism represented by given net

First, we find the area of each face of the triangular prism:

1. Area of the two triangular faces:
To find the area of a triangle, we use the formula: 0.5 * base * height

The base of the triangle is the length of the prism, which is 17.9, and the height is the height of the prism, which is 16.4.

Area of one triangle = 0.5 * 17.9 * 16.4 = 146.92
Since there are two triangular faces, the total area of these two triangles is:
2 * 146.92 = 293.84

2. Area of the three rectangular faces:
To find the area of a rectangle, we use the formula: length * width

The dimensions of the rectangular faces are:
a) Length = 17.9, Width = 15.5
Area of one rectangular face = 17.9 * 15.5 = 277.45

b) Length = 16.4, Width = 15.5
Area of another rectangular face = 16.4 * 15.5 = 253.2

Total area of the three rectangular faces is:
277.45 + 253.2 + 277.45 = 807.1

Therefore, the total surface area of the triangular prism represented by the given net is:
293.84 (triangular faces) + 807.1 (rectangular faces) = 1100.94 units squared.