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.
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?
1 answer