The surface area of the triangular prism is 1664 square yards.
Explanation:
Given that a triangular prism is 20 yards long and has a triangular face with a base of 24 yards and a height of 16 yards . the other two sides of the triangle are each 20 yards.
Surface area of the triangular prism:
The formula to determine the surface area of the triangular prism is
[tex]SA=bh+Pl[/tex]
where base [tex]b=24[/tex] ,
height [tex]h=16[/tex],
length [tex]l=20[/tex] and
Perimeter [tex]P=20+20+24=64[/tex]
Substituting these values in the above formula, we get,
[tex]SA=(24\times 16)+(64\times 20)[/tex]
[tex]=384+1280[/tex]
[tex]SA=1664[/tex]
Thus, the surface area of the triangular prism is 1664 square yards.