The surface area of the square pyramid is 12.96 square units.
What is net?
"In geometry, a net is a two dimensional structure that can be folded to form a three-dimensional shape."
What is square pyramid?
"It is a pyramid with a square base and triangular faces all connected."
What is the surface area of square pyramid?
[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} +h^{2} }[/tex], where 'a' is the side length of the square pyramid and 'h' is the height of the pyramid.
From given net of a square pyramid,
the side length of square base (a) = 2
the height of the pyramid (h) = 2
Using the formula of the surface area of the given square pyramid would be,
[tex]\Rightarrow A=a^{2} +2a\sqrt{\frac{a^{2} }{4} +h^{2} }\\\\\Rightarrow A=2^{2} +2(2)\sqrt{\frac{(2)^{2} }{4} +(2)^{2} }\\\\\Rightarrow A=4 +4\sqrt{\frac{4 }{4} +4 }\\\\\Rightarrow A=4(1+\sqrt{1 +4 })\\\\\Rightarrow A=4(1+\sqrt{5})\\\\\Rightarrow A=4(3.24)}\\\\\Rightarrow A=12.96 ~square~ units[/tex]
Therefore, the surface area of the square pyramid is 12.96 square units.
Learn more about square pyramid here:
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