17m , 15m , 17m , 16m and 11 m . What is the surface area of the net of the triangular prism ?
To find the surface area of the net of the triangular prism, we need to find the area of each of the faces and then add them all together.
First, let's find the area of the two triangular faces:
Area of a triangle = 0.5 * base * height
For the first triangle:
Area = 0.5 * 17m * 15m = 127.5 square meters
For the second triangle:
Area = 0.5 * 17m * 15m = 127.5 square meters
Now let's find the area of the three rectangular faces:
Area of a rectangle = length * width
For the first rectangle:
Area = 17m * 16m = 272 square meters
For the second rectangle:
Area = 17m * 11m = 187 square meters
For the third rectangle:
Area = 16m * 11m = 176 square meters
Now add up all the areas:
127.5 + 127.5 + 272 + 187 + 176 = 890 square meters
Therefore, the surface area of the net of the triangular prism is 890 square meters.