Regular Square Pyramid Formula

Regular Square Pyramid Formula

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.

Regular SQUARE PYRAMID FORMULAThe 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: Find the volume of a regular square pyramid of base length 6 cm and height 8 cm?


Given, base length = a = 6 cm

Height = h = 8 cm

From the volume formula:

\(\begin{array}{l}Volume=\frac{1}{3}\, a^{2}h\end{array} \)

\(\begin{array}{l}Volume=\frac{1}{3}\times 6^{2}\times 8\end{array} \)
\(\begin{array}{l}Volume = 96\; cm^{3}\end{array} \)


Leave a Comment

Your Mobile number and Email id will not be published.