Find the surface area of the square pyramid shown below

The answer is 160.

Step-by-step explanation:

The way we solve it is since we are trying to find the surface area of a square pyramid, we add the surface area of all four sides, plus the 2D square that is the base of the pyramid.

So, to find the square base all we have to do is square 8 because all the sides of a square are equal. 8^2 = 64.

Next, we use the formula: B * H / 2 to get the area of one of the side triangles.  Where B is 8 and H is the slant, which is 6. So, 6*8/2 =  48/2 = 24.

There are four of the side triangles so we multiply 24 by 4. 24*4= 96.

Now that we have the areas of both the base and the sides, we just add them together. 96+64=160. So, that shows that the surface area is 160.

Hope this helps!