The figure below is a net for a triangular prism.On the tactile printout of the following graphs, a is 1313 meters, b is 1515 meters, c is 99 meters, and d is 15, point, 8, 115.81 meters.
15.81 m
15.81 m
13 m
9 m
15 m
13 m
An image is shown.
What is the surface area of the triangular prism, in square meters?
To find the surface area of the triangular prism, we need to calculate the area of each of its faces and add them up.
1. The two triangular faces have base b = 15 meters and height 13 meters.
Area of one triangular face = 1/2 * base * height
= 1/2 * 15 * 13
= 97.5 square meters
Since there are two triangular faces, the total area of the two triangular faces = 2 * 97.5 = 195 square meters
2. The three rectangular faces have dimensions a x c, b x d, and c x d.
Area of first rectangular face = a x c = 13 x 9 = 117 square meters
Area of second rectangular face = b x d = 15 x 15.81 = 237.15 square meters
Area of third rectangular face = c x d = 9 x 15.81 = 142.29 square meters
Total area of the three rectangular faces = 117 + 237.15 + 142.29 = 496.44 square meters
3. Therefore, the total surface area of the triangular prism is the sum of the areas of the two triangular faces and the three rectangular faces:
195 (triangular faces) + 496.44 (rectangular faces) = 691.44 square meters
The surface area of the triangular prism is 691.44 square meters.