The surface area of the triangular prism is calculated as: 153 cm²
How to Find the Surface Area of a Triangular Prism?
The net of a triangular consists of 2 identical triangular faces, and three different rectangular faces. Given the net of a triangular prism, to find the surface area, find the area of each given shape that makes up the net of the triangular prism.
Surface area of the triangular prism = 2(area of triangular base) + area of the 3 different rectangular faces.
Area of triangle = 1/2(b)(h)
Base (b) = 6 cm
Height (h) = 3 cm
Area of the 2 triangular faces = 2[1/2(6)(3)]
Area of the 2 triangular faces = 18 cm²
Area of the larger rectangular face:
Area = (length)(width) = (9)(6)
Area of larger rectangular face = 54 cm²
Area of the medium-sized rectangular face:
Area = (length)(width) = (9)(5)
Area of medium-sized rectangular face = 45 cm²
Area of the smaller rectangular face:
Area = (length)(width) = (9)(4)
Area of smaller rectangular face = 36 cm²
Surface area of the triangular prism = 18 + 54 + 45 + 36
Surface area of the triangular prism = 153 cm²
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