Question

What is the surface area of the square pyramid?



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in²

Answer 1

Answer:

108.82in²

Step-by-step explanation:

The formula for the surface area of the square pyramid is,

$A = a^{2} + 2a \sqrt{\frac{a^{2} }{4} + h^{2} }$

⇒ h represents the height which is 8in

⇒ a represents the base edge which is 5in

Plug in:

$A = 5^{2} + 2(5) \sqrt{\frac{5^{2} }{4} + 8^{2} } \\\\A = 25 + 10 \sqrt{\frac{25 }{4} + 64 } \\\\A = 35 \sqrt{6.25 + 64} \\\\A = 35 \sqrt{70.25}$

A = 108.815