Using the net, we see that the square pyramid breaks down to 4 equivalent triangles and a square. We can use this formula to solve for the surface area:
Sa=A(square)+4*A(triangle)
The formula for the area of a square is
A=l*w A=7*7 A=49mm²
The formula for the area of a triangle is:
A=1/2b*h A=1/2*7*12.2 A=42.7mm²
Now that we have the individual areas of the shapes, we can solve for the surface area.