What is the lateral surface area of the prism?
Length: 17.2m
Width: 3m
Height: 5.5m
The lateral surface area of the prism can be found by adding up the areas of all the rectangular faces that are not the top or bottom. In this case, there are four rectangular faces that make up the lateral surface.
The formula for the lateral surface area of a rectangular prism is:
Lateral surface area = perimeter of base x height
The perimeter of the base can be found by adding up all four sides. In this case, the length and width are given, so:
Perimeter of base = 2(length + width) = 2(17.2m + 3m) = 2(20.2m) = 40.4m
Now we can plug in the values:
Lateral surface area = perimeter of base x height = 40.4m x 5.5m = 222.2 square meters
Therefore, the lateral surface area of the prism is 222.2 square meters.