The Volume of a regular Polygon based Pyramid calculator computes the volume of a right pyramid
based on the number of sides of the polygon (n), the length of the sides (b) and the height (h).
INSTRUCTIONS: Choose units and enter the following:
- (n) Number of sides on the base polygon.
- (b) Length of the sides of the base polygon.
- (h) Height of the pyramid.
Pyramid Volume (V): The calculator returns the volume in cubic meters. However, this can be automatically converted to other cubic units via the pull-down menu.
The Math / Science
A regular polygon based pyramid has a polygon base where each side of the polygon is the same length and the angles connecting the sides are all equal. The formula for the volume of a regular pyramid with a polygon base is:
`V = 1/3 * h * (1/4 * b^2 * cos(pi/n)/sin(pi/n))`
where:
- V = Volume of the polygon based pyramid
- b = length of the sides of the polygon
- h = height of the pyramid.
Pyramid Calculators
- Volume of a Pyramid
- Mass or Weight of a Pyramid
- Volume of a Frustum of a Pyramid
- Mass of a Frustum of a Pyramid
- Volume of a Polygon Based Pyramid
- Mass of a Polygon Based Pyramid
- Volume of a Frustum of a Polygon Based Pyramid
- Mass of a Frustum of a Polygon Based Pyramid
- Mean Density of Many Substances: The Mean Density Lookup equation provides the mean density of hundreds (650+) substances from metals to gases, woods, food, liquids and much more. The results of the Mean Density look-up are in kg/m3. Use the answer for the substance you choose in the mass equation to approximate the mass or weight of the pyramid shaped object based on its shape, dimensions and the mean density of its composition.
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.
Volume Calculators
- Volume of a Cube
- Volume of a Box
- Volume of a Cone
- Volume of a Cone Frustum
- Volume of a Cylinder
- Volume of a Slanted Cylinder
- Volume of a Triangular
- Volume of a Quadrilateral
- Volume of a Pentagon
- Volume of a Hexagon
- Volume of a Heptagon
- Volume of a Octagon
- Volume of a Nonagon
- Volume of a Decagon
- Volume of a Hendecagon
- Volume of a Dodecagon
- Volume of a Paraboloid
- Volume of a Polygon based Pyramid
- Volume of a Pyramid Frustum
- Volume of a Sphere
- Volume of a Sphere Cap
- Volume of a Sphere Segment
- Volume of a Sphere Shell
- Volume of a Oblate Spheroid
- Volume of a Ellipsoid
- Volume of a Torus
- Volume of a Bottle
- Volume of a Chamfer