Find the surface area of a square pyramid whose base edge is 6cm and whose slant edge is 5cm

Check the picture below.

so let's notice, the base is a 6x6 square, and triangular faces have a base of 6 and an altitude/height of 5.  So we can just get the area of the square and the triangles and sum them up and that's the area of the pyramid.

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

Where:

p: Represents the perimeter of the base

l: The inclination height

B: The area of the base

Now, since the base is square we have:

Then, replacing the values:

ANswer

12/11c

or

12

c

11