Answer:
Total Area = [tex]104+16\,\sqrt{13}[/tex]
Step-by-step explanation:
If T.A. stands for Total Area, then we need to add the area of two equal right angle triangles of base 6' and height 4', which give : 2 * (6' * 4'/2) = 24 square feet. tothe area of three rectangles (the lateral faces of this triangular base prism):
[tex](8')*(4')+(8')*(6')+(8')*(\sqrt{6^2+4^2})= 32+48+8\,\sqrt{52} =80+8\,*\,2\,\sqrt{13}=80+16\,\sqrt{13}[/tex]
Therefore the total area of the prism is:
[tex]24+80+16\,\sqrt{13} =104+16\,\sqrt{13}[/tex]
