What is the surface area of the net of a triangular prism with one side 17 m one side 15 m one side 16 m in square meters
To find the surface area of the net of a triangular prism, we need to calculate the area of all the faces of the prism.
The triangular faces of the prism will have a base of 15 m and a height of 17 m. The formula to find the area of a triangle is A = 1/2 * base * height.
Therefore, the area of one triangular face = 1/2 * 15 * 17 = 127.5 square meters.
Since there are two triangular faces, the total area of the triangular faces is 2 * 127.5 = 255 square meters.
The rectangular faces of the prism will have dimensions of 16 m by 17 m and 15 m by 17 m.
The area of the first rectangular face = length * width = 16 * 17 = 272 square meters.
The area of the second rectangular face = 15 * 17 = 255 square meters.
Therefore, the total area of the rectangular faces is 272 + 255 = 527 square meters.
Adding the areas of the triangular faces and rectangular faces together, we get the total surface area of the net of the triangular prism:
255 (triangular faces) + 527 (rectangular faces) = 782 square meters
So, the surface area of the net of the triangular prism is 782 square meters.