Answer:
108.82in²
Step-by-step explanation:
The formula for the surface area of the square pyramid is,
[tex]A = a^{2} + 2a \sqrt{\frac{a^{2} }{4} + h^{2} }[/tex]
⇒ h represents the height which is 8in
⇒ a represents the base edge which is 5in
Plug in:
[tex]A = 5^{2} + 2(5) \sqrt{\frac{5^{2} }{4} + 8^{2} } \\\\A = 25 + 10 \sqrt{\frac{25 }{4} + 64 } \\\\A = 35 \sqrt{6.25 + 64} \\\\A = 35 \sqrt{70.25}[/tex]
A = 108.815
