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A square pyramid has a base with sides that are 12 cm long and a height of 9 cm. What is the surface area of the pyramid?

Sagot :

Check the picture below.

since the pyramid has 4 triangular faces and a square base, let's add their areas together and that'd be the area of the pyramid.

[tex]\stackrel{\textit{\Large total area}}{\stackrel{base}{(12\cdot 12)}+\stackrel{4~triangles}{4\left[\cfrac{1}{2}(12)(6\sqrt{3}) \right]}}\implies 144 + 144\sqrt{3}~~\approx ~~393.42[/tex]

View image jdoe0001
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