The Volume of a Pyramid calculator computes the volume based on the area of the base and the height.
INSTRUCTIONS: Choose units and enter the following:
- (A) Area of the Base
- (h) Height
Pyramid Volume (V): The calculator returns the volume in cubic meters. However this can be automatically converted to compatible units via the pull-down menu.
The Math / Science
The formula for the volume of a pyramid is:
`V = 1/3 * A * h`
where:
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).