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The surface area of the square pyramid is 96 sq. mi.
Given:
side length (s) = 6 mi
slant height (l) = 5 mi
*image of a typical square pyramid is shown in the attachment below.
Recall:
Formula for surface area of square pyramid (SA) = [tex]A+\frac{1}{2}Pl[/tex]
Where,
[tex]A=[/tex] area of the base = [tex]s^2=6^2=36[/tex] sq mi
[tex]P=[/tex] perimeter of the base = [tex]4(s)=4*6=24[/tex] mi
[tex]l=[/tex] slant height = 5 mi
Plug in the values
[tex]SA=36+\frac{1}{2} *24*5[/tex]
[tex]SA=36+60[/tex]
[tex]SA=96[/tex]
The surface area(SA) of the square pyramid is 96 sq. mi
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