Respuesta :

Answer:

144 cm²

Step-by-step explanation:

A prism's surface has 2 triangles & 3 rectangles.

In both the triangles , length of :

Perpendicular = 4 cm

Base = 6 cm

So , Area of both triangles = [tex]2(\frac{1}{2} * Base * Perpendicular) = 2(\frac{1}{2}* 6 * 4) = 24 cm^2[/tex]

In the 3 rectangles ,

Length = 8 cm

Width = 5 cm

So , Area of the rectangles = [tex]3( Length * Width) = 3(8 * 5) = 120 cm^2[/tex]

Hence the total surface area of the prism is = 120 + 24 =144 cm²