The Surface area of the triangular prism is: 318 km³.
What is a Triangular Prism?
A triangular prism is a solid that has two triangular bases and three rectangular faces.
What is the Surface Area of a Triangular Prism?
The surface area of a triangular prism is the sum of the areas of its two triangular bases and three rectangular faces.
The formula for the surface area of a triangular prism = (S1 +S2 + S3)L + bh, where:
Perimeter of the base = S1 + S2 + S3
Length of the prism = L
2 × Base Area = bh
Given the following:
s1 + s2 + s3 = 7 + 9 + 8 = 24 km
L = 11 km
bh = (9)(6) = 54 km²
Plug in the values
Surface area of the triangular prism = (24)11 + 54
Surface area of the triangular prism = 264 + 54
Surface area of the triangular prism = 318 km³
Thus, the Surface area of the given triangular prism in the diagram above is: 318 km³.
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