What is the surface area of the regular pyramid given below?

For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:

Where:

p: It is the perimeter of the base

S: It's the inclination

It is the area of the base

Substituting:

Option B

rx and sx

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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