The Volume of a Polygon Based Pyramid Frustum calculator computes the volume of the frustum of right pyramid with two regular polygon bases (top and bottom) with the same number of sides (n) separated by a height (h).
INSTRUCTIONS: Choose units and enter the following:
Pyramid Volume (V): The calculator returns the volume in cubic meters (m3). However, this can be automatically converted to other volume units (e.g. cubic feet, gallons or liters) via the pull-down menu.
The top and base polygons are regular polygons with equal length sides and angles. The polygons are defined by the number of sides (n) and the equal side lengths of b and B of the two polygons respectively (see diagram).
The formula for theis:
V = n⋅h/12⋅(b2+b⋅B+B2)⋅cot(π/n)
Volume is a three dimensional measurement of the amount of space taken up by an object. Volume units are cubic measurements for solid objects such as cubic inches and cubic meters. Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel.
The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape. Many such calculations are available in the following list of calculators.
In many cases, the calculators are for a column with a geometric shaped base and vertical sides. One basic formula for volume is area times a Height when the volume has vertical sides.