A regular pyramid is a pyramid with a regular polygon base whose apex projects to the center of the base.
Height is the perpendicular distance from the apex to the base plane.
Base area
The base area is the area of the regular polygon that forms the base of the pyramid. See the regular polygon formulas.
Lateral surface area
$$S_{l}=\frac{1}{2}\times P\times l$$
where,
Sl— lateral surface area;
P— base perimeter;
l— slant height.
Total surface area
$$S_{t}=S_{l}+S_{b}$$
where,
St— total surface area;
Sl— lateral surface area;
Sb— base area.
Volume
$$V=\frac{1}{3}\times S_{b}\times H$$
where,
V— volume;
Sb— base area;
H— pyramid height.
See also:
Regular Pyramid FAQ
What is a regular pyramid?
A regular pyramid has a regular polygon as its base and an apex directly above the center of the base.
How do you find the volume of a regular pyramid?
The volume of a regular pyramid is V = one third times the base area times the height.
