Pyramid (triangle base) - Volume

The Volume of a Triangle Based Pyramid calculator computes the volume (V) of a pyramid with a triangle base that is defined by the length of the three triangle base sides (a,b,c) and height (h) from the base to the apex.

INSTRUCTIONS: Choose units and enter the following:

• (a) Length of side a of the base of the pyramid.
• (b) Length of side b of the base of the pyramid.
• (c) Length of side c of the base of the pyramid.
• (h) Height of the pyramid.  This is the distance between the base and the top.

Pyramid 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.

The Math / Science

The formula for the volume of a pyramid with a triangle base is:

     `V = 1/3 * h * sqrt((a+b+c)/2((a+b+c)/2-a)((a+b+c)/2-b)((a+b+c)/2-c))`  

where:

• V = volume of pyramid
• h = height of pyramid
• a = side length of base
• b = side length of base
• c = side length of base

Triangle and Pyramid Calculators

• Area of a Triangle with Three Different Sides
• 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