A square pyramid has base edge length 14 m. The height of the pyramid is 24 m. Find the surface area of the square pyramid. Use pencil and paper. Draw a net for the figure and find the surface area.

Answer 1

Each face of the pyramid is a triangle with base 14.
If you draw the net, things get easy. You have a square and four triangles.
Draw a line from the vertex to the center of an edge of the base.
You now have a right triangle with sides 7,24,25.
That is, each triangular face has altitude 25.
So, the area of the pyramid is
14^2 + 4(14*25/2)