Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
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The surface area of the given triangular prism is 1440 cm².
We need to find the surface area of this triangular prism.
The formula for the surface area of a triangular prism is formed by adding up the area of all the rectangular and triangular faces of a prism. Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula.
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh
From the given figure, S1=20 cm, S2=15 cm, S3=25 cm and L=19 cm.
b=15 cm and h=20 cm
Now, Surface area =(20+15+25)×19+15×20
=1140+300=1440 cm²
Therefore, the surface area of the given triangular prism is 1440 cm².
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