What is the surface area of this triangular prism?
Height of 17.2 cm
Front length 24.7 cm
Side length 34.7 cm
Other side length 21.2 cm
To find the surface area of a triangular prism, you need to calculate the area of each of the triangular bases and the three rectangular sides and then add them all together.
First, let's calculate the area of each triangular base:
Area = 0.5 x Base x Height
Front base area = 0.5 x 24.7 cm x 17.2 cm = 212.34 cm²
Side base area = 0.5 x 34.7 cm x 17.2 cm = 297.64 cm²
Other side base area = 0.5 x 21.2 cm x 17.2 cm = 182.72 cm²
Next, let's calculate the area of each rectangular side:
Front side area = 24.7 cm x 17.2 cm = 424.84 cm²
Side side area = 34.7 cm x 17.2 cm = 597.64 cm²
Other side area = 21.2 cm x 17.2 cm = 364.64 cm²
Now, add up the area of all the bases and sides to find the total surface area:
Total surface area = 212.34 cm² + 297.64 cm² + 182.72 cm² + 424.84 cm² + 597.64 cm² + 364.64 cm²
Total surface area = 2079.82 cm²
Therefore, the surface area of the triangular prism is 2079.82 cm².