All five faces of a regular pyramid with a square base are found to be of the same area. The height of the pyramid is 3 cm. What is the minimum total area (integral) of all its surfaces?
If a square pyramid of base 12 cm and height 5 cm is to be made, then its triangular faces are all equilateral triangles with side 12 cm.
The angle opposite to the base edge of a square pyramid on its lateral face is 60∘. If the slant height of the pyramid is 40cm, what is the lateral surface area of the pyramid?