Using the bet of the triangle prism what is its surface area? 10 ft 24 ft 26 ft 10ft

Answer 1

To find the surface area of a triangular prism, you need to calculate the surface area of both triangular bases and the three rectangular sides.

First, calculate the area of one of the triangular bases:
Area of a triangle = 1/2 x base x height
Area = 1/2 x 10 ft x 24 ft = 120 ft²

Since the triangular prism has two triangular bases, the total surface area of both bases is 2 x 120 ft² = 240 ft².

Next, calculate the area of the three rectangular sides:
Surface area of a rectangle = length x width

Rectangle 1: 10 ft x 26 ft = 260 ft²
Rectangle 2: 10 ft x 26 ft = 260 ft²
Rectangle 3: 24 ft x 26 ft = 624 ft²

Total surface area of the three rectangular sides: 260 ft² + 260 ft² + 624 ft² = 1144 ft²

Finally, add the surface area of the two triangular bases and the three rectangular sides to find the total surface area of the triangular prism:
Total surface area = 240 ft² (triangular bases) + 1144 ft² (rectangular sides) = 1384 ft²

Therefore, the surface area of the triangular prism is 1384 ft².