apply the technique of using that to find the surface area of this triangular prism your answer should have two decimal places

573.24
97.24
700.40
603.16

1 answer

To find the surface area of a triangular prism, we need to calculate the area of each face and then add them together.

Given the dimensions of the triangular prism, let's label the sides:
Base of the triangle = 10 cm
Height of the triangle = 8 cm
Length of the prism = 15 cm

1. Area of the triangular bases:
Area = (1/2) * base * height
Area = (1/2) * 10 * 8 = 40 square cm

2. Area of the rectangular sides:
Area = (perimeter of the base) * height of the prism
Perimeter of the base = 3 * 10 = 30 cm
Area = 30 * 15 = 450 square cm

Total surface area = 2 * base area + 3 * side area
Total surface area = 2 * 40 + 3 * 450 = 40 + 1350 = 1390 square cm

Therefore, the surface area of the triangular prism is 1390 square cm.