Question

Find the surface area of a square pyramid

Answer 1

224 ft

Explanation:

To find the surface area of a square pyramid, use this equation:

`A=a^(2)+2a\sqrt{(a^(2))/(4) +h^(2)}`

A = surface area

a = base edge

h = height

In the problem you are asking, a=7 and h=12. Now, let's plug a and h into the equation to solve for surface area.

`A=a^(2)+2a\sqrt{(a^(2))/(4) +h^(2)}` [ Plug in a and h ]

`A=7^(2)+2(7)\sqrt{(7^(2))/(4) +12^(2)}\\\\A=49+14\sqrt{(49)/(4) +144}\\A=49+14√(12.25 +144)\\\\A=49+14√(156.25)\\\\A=49+175\\A=224`

So, the surface area of the square pyramid is 224 ft.

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