Question

What is the surface area of the net of the triangular prism? (1 point) H=15 L=11 A=17 B=16 C=17
768 square meters
779 square meters
790 square meters
822 square meters

Answer 1

The surface area of the net of the triangular prism can be calculated by adding the areas of each face.

First, calculate the area of the two triangular bases:
Area of one triangle = (1/2) * base * height
Area of one triangle = (1/2) * 11 * 17
Area of one triangle = 93.5 square meters
Total area of both triangles = 2 * 93.5 = 187 square meters

Next, calculate the area of the three rectangular faces:
Area of one rectangle = length * height
Area of one rectangle = 11 * 15
Area of one rectangle = 165 square meters
Total area of all three rectangles = 3 * 165 = 495 square meters

Finally, add the areas of all faces together:
Total surface area = 187 + 495
Total surface area = 682 square meters

Therefore, the surface area of the net of the triangular prism is 682 square meters.