Pyramid - Weight

The Pyramid Weight (Mass) calculator computes the weight or mass of a pyramid of base area (A), height (h) and mean density (mD).

INSTRUCTIONS: Choose the units you wish for area (e.g. cm²) and height (e.g. inches) and enter the following:

• (A) Area of the base of the pyramid
• (h) Height of the pyramid
• (mD) Mean density of the composition of the pyramid (e.g. 2,400 kg/m³ for concrete)

Pyramid Weight (M): The calculator returns the weight/mass in kilograms.  However the user can automatically convert this to many other mass/weight units (e.g. pound or tons) via the pull-down menu.

The Math / Science

The formula for the mass or weight of a pyramid is: 

   ` M = [1/3 * A * h] * mD`

where:

• M = Mass of pyramid
• A = Area of Base
• h = height of pyramid
• mD = Mean Density Pyramid Material
  This formula computes the volume of the pyramid shape based on the input parameters.  With the computed volume, this formula then executes the simple equation below to compute the approximate mass of the object.

         M = μ * V

where:

• M = Mass or Weight of Pyramid
• μ = density of material (e.g. limestone is 2691 kg/m³) in the pyramid
• V = Volume of the Pyramid

The mean density (`mu_(density)`) of many common substances, elements, liquids and materials can be found by clicking HERE (e.g. the `mu_(density) (water)` is 1000.0 kg/m³).

Pyramid Calculators

• 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:

1. 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.
2. 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.
3. 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.
4. 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).