Answer :
The surface area can be found if the area of each of the faces is found and added together.
The square pyramid consists of a square face and four equal triangular faces.
Area of the square base:
[tex]\begin{gathered} A=s^2 \\ A=(5in)^2 \\ A=25in^2 \end{gathered}[/tex]Area of the triangular faces:
[tex]\begin{gathered} A=b\times\frac{h}{2} \\ A=5in\times\frac{8in}{2} \\ A=20in^2 \end{gathered}[/tex]Then, add together the 5 areas
[tex]\begin{gathered} SA=25in^2+5(20in^2) \\ SA=125in^2 \end{gathered}[/tex]Area:
The surface area is equal to 125 square inches.