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`V = 1/3 * "h" *( "R" ^2+ "R" * "r" + "r" ^2)`

Enter a value for all fields

The **Volume of the Frustum of a Right Squared-base Pyramid** calculator computes the volume of a right square based pyramid with a frustum defined by base side length (**R**) and top side length (**r**) and height (**h**) in between.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**r**) Length of one side of the four-sided square top (see diagram). - (
**R**) Length of one side of the four-sided square base (see diagram). - (
**h**) Height of frustum. This is the distance between the base and the top.

**Pyramid Frustum Volume (V):** The volume is returned in cubic meters. However, the user can automatically convert this to any of the other volume units (e.g. cubic feet, liters, or gallons) via the pull-down menu.

A Right Square Pyramid has a four sided base where all four sides are equal and have equal angled corners (90^{o}), which is a square. The pyramid is a right pyramid if the apex of the pyramid is directly above the center of the base square. The formula for the volume of a pyramid with a triangle base is:

`V = 1/3 * h*(R^2+R * r+r^2)`

where:

- V = volume of square pyramid frustum
- h = height of pyramid
- r = side length of top
- R = side length of base

- Pyramid Geometries
- 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

A regular **pyramid **is a type of pyramid that has the following characteristics:

**Base**: The base of a regular pyramid is a regular polygon, meaning all sides of the polygon are equal in length, and all interior angles are equal. Examples of regular polygons include equilateral triangles, squares, and regular pentagons.**Apex**: The apex is the point directly above the center of the base. In a regular pyramid, the apex is aligned such that the line segment (height) from the apex to the center of the base is perpendicular to the base.**Lateral Faces**: The lateral faces of the pyramid are congruent isosceles triangles. Each triangle shares a side with the base of the pyramid and meets at the apex.**Height**: The height of the pyramid is the perpendicular distance from the apex to the center of the base.

Because of these properties, a regular **pyramid **is symmetric around its vertical axis (the line connecting the apex to the center of the base).