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.what is the surface area of the triangular prism?

Respuesta :

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.

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