1) The lateral face that is shared with the triangular prism is 2(3).
2) The surface area of the triangular prism, without the shared face, will be 38 square units.
What is rectangular prism?
"A triangular prism is a prism composed of two triangular bases and three rectangular sides."
What are lateral faces?
"Lateral faces are the faces in a prism that are not bases."
For given example,
The triangular prism will have the net where rectangular sides are 5 by 2.8, 5 by 2, and 5 by 2. The 2 triangular sides have a base of 2 and height of 2.
The net of the triangular prism would be as shown in figure.
For triangular prism, the lateral faces of a triangular prism are rectangles.
So, the lateral face that is shared with given triangular prism is 2(3).
The surface area of the triangular prism would be,
⇒ A = area of lateral faces + area of bases
⇒ A = area of rectangular faces + area of triangles
⇒ A = [(2 × 5) + (2 × 5) + (2.8 × 5)] + 2 ×[ 0.5 × base × height]
⇒ A = (10 + 10 + 14) + [2 × (0.5 × 2 × 2)]
⇒ A = 34 + [2 × (2)]
⇒ A= 34 + 4
⇒ A = 38 square units.
Therefore, the surface area of the triangular prism is 38 square units.
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