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`V = 1/3 * "h" * (1/4 * "b" ^2 * cos(pi/ "n" )/sin(pi/ "n" ))`
Enter a value for all fields
The Volume of a regular Polygon based Pyramid calculator 
Hexagonal Pyramid 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 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 - 3 sided column
- Volume of a Quadrilateral - 4 sided column
- Volume of a Pentagon - 5 sided regular column
- Volume of a Hexagon - 6 sided regular column
- Volume of a Heptagon - 7 sided regular column
- Volume of a Octagon - 8 sided regular column
- Volume of a Nonagon - 9 sided regular column
- Volume of a Decagon - 10 sided regular column
- Volume of a Hendecagon - 11 sided regular column
- Volume of a Dodecagon - 12 sided regular column
- Volume of a Paraboloid
- Volume of a Polygon based Pyramid
- Volume of a Pyramid Frustum
- Volume of a Sphere
- Volume of a Oblate Spheroid
- Volume of a Ellipsoid
