Respuesta :
find the area of the base of the pyramid, then find the area of each side then add the areas. hope this help :)
The surface area of square pyramid is [tex]a^{2} +2a\sqrt{\frac{a^{2} }{4} +h^{2} }[/tex]
What is surface area?
Surface area is the amount of space covering the outside of a three dimensional shape.
What is square pyramid?
A three-dimensional geometric shape having a square and four triangular faces/sides that meet at single point (called vertex) is called a square pyramid.
Properties of square pyramid
- It has five faces
- The four side faces are triangles.
- the base is square
- it has five vertices
- it has eight edges
According to the given question
To calculate the surface area of a square pyramid
we have to sum all the areas of its four triangular side faces with base area of square pyramid.
If a, h and l are the base length, the height and slant height of pyramid respectively,
then,
the surface area of square pyramid [tex]= a^{2} +2al[/tex]
here,
[tex]l = \sqrt{\frac{a^{2} }{4} +h^{2} }[/tex]
Therefore,
surface area of a square pyramid = [tex]a^{2} +2a\sqrt{\frac{a^{2} }{4}+h^{2} }[/tex]
Learn more about the surface area of square pyramid here:
https://brainly.com/question/16720917
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