Question

What is the surface area of the square pyramid?

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in²

Answer 1

108.82in²

Explanation:

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

`A = a^(2) + 2a \sqrt{(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{(5^(2) )/(4) + 8^(2) } \\\\A = 25 + 10 \sqrt{(25 )/(4) + 64 } \\\\A = 35 √(6.25 + 64) \\\\A = 35 √(70.25)`

A = 108.815