A regular pyramid is called so because this type of pyramid has a square base. A regular square has 4 triangular faces, 1 square base, 5 vertices and 8 edges.
The two major formulas for regular square pyramid are:
\[\large Volume=\frac{1}{3}\, b^{2}h\]
\[\large Surface\;Area=2\,b\,s+b^{2}\]
Solved example
Question:Â Find the volume of a regular square pyramid of base length 6 cm and length 8 cm?
Solution:
From the volume formula: \(Volume=\frac{1}{3}\, b^{2}h\)
$Volume=\frac{1}{3}\times 6^{2}\times 8$ $Volume = 760.32\; cm^{3}$