Respuesta :

Answer:

Therefore the total surface of the prism is 302.8 cm squared.

Step-by-step explanation:

Triangular Prism:

  • It has 5 flat surfaces.
  • It has 6 vertices.
  • Three faces are rectangles and two faces are triangles.
  • The volume is = area of base× height

Given that, the base of a prism is an equilateral triangle with area of 52.4 cm squared. The area of each lateral face is 66 cm squared.

The surface area of the given prism = [tex]S_{Base}+S_{side}[/tex]

                                                             [tex]=2.\frac{\sqrt3}{4}s^2+3ls[/tex]

Here

[tex]\frac{\sqrt3}{4}s^2=52.4[/tex]  and  [tex]ls=66[/tex]

Therefore the total surface of the prism is

={(2×52.4)+(3×66)}cm squared

=302.8 cm squared

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