A regular square pyramid has a square base, 4 triangular faces, 5 vertices and 8 edges. Volume and Surface area are the major formulas for square pyramid. Let us discuss here both.
The two major formulas for regular square pyramid are:
\[\large Volume=\frac{1}{3}\, a^{2}h\]
\[\large Surface\;Area=a(a + \sqrt{a^{2}+4h^{2}})\]
Solved example
Question:Â Find the volume of a regular square pyramid of base length 6 cm and height 8 cm?
Solution:
Given, base length = a = 6 cm
Height = h = 8 cm
From the volume formula: \(\begin{array}{l}Volume=\frac{1}{3}\, a^{2}h\end{array} \)
\(\begin{array}{l}Volume=\frac{1}{3}\times 6^{2}\times 8\end{array} \)
\(\begin{array}{l}Volume = 96\; cm^{3}\end{array} \)
