Respuesta :

Answer:

The surface area is [tex]380\ in^{2}[/tex]  

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

[tex]SA=b^{2}+4[\frac{1}{2}(b)(l)][/tex]

where

[tex]b=10\ in[/tex]

[tex]l=14\ in[/tex] -----> the slant height

substitute the values

[tex]SA=10^{2}+4[\frac{1}{2}(10)(14)][/tex]

[tex]SA=380\ in^{2}[/tex]