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`V = "n" * "h" /12 * ( "b" ^2 + "b" * "B" + "B" ^2) * cot(pi/ "n" )`

Enter a value for all fields

The **Volume of a Polygon Based Pyramid Frustum** calculator computes the volume of the frustum of right * Frustum of Pyramid*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:

- (
**n**) The number of sides on the polygons - (
**b**) The length of the sides on the top polygon - (
**B**) The length of the sides on the base polygon - (
**h**) The height between the top and bottom polygons

**Pyramid Volume (V):** The calculator returns the volume (**V**) in cubic meters (m^{3}). 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 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 the volume of a polygon pyramid frustum is:

V = n⋅h/12⋅(b^{2}+b⋅B+B^{2})⋅cot(π/n)

where:

- V is the volume of the polygon pyramid frustum
- n is the number of sides of the polygon
- b is the length of the sides on the top polygon
- B is the length of the sides on the bottom polygon

**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