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Equilateral Triangle Volume

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Last modified by
on
Mar 31, 2025, 7:41:37 PM
Created by
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Jul 5, 2016, 5:09:56 PM
`V = sqrt(3)/4 * "a" ^2 * "h" `
`(a)" Length of all sides of the triangle"`
`(h)" Height of the equilateral triangle column"`

The Volume of Triangle calculator computes the volume of a triangular column with three equal length sides of the triangle and vertical sides.

INSTRUCTIONS: Choose units and enter the following:

  • (a) Length of Sides of Triangle
  • (h) Height of Triangular Shape

Triangular Volume (V): The calculator returns the volume in cubic meters (m3).   However this can be automatically converted to other volume units via the pull-down menu.

The Math / Science

The formula for the volume of a triangular object where the triangle is an equilateral triangle with three sides of the same length, and an object height is:

`V = sqrt(3)/4 * a^2 * h``

where:

  • V = Volume of Triangular Object
  • a = Length of the three sides
  • h = Height of the Object.


Volume is a three dimensional measurement of the amount of space taken up by an object.  Volume units are cubic measurements for solid objects such as cubic inches and cubic meters.  Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel. 

The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape.  Many such calculations are available in the following list of calculators. 

In many cases, the calculators are for a column with a geometric shaped base and vertical sides.  One basic formula for volume is area times a Height when the volume has vertical sides.


Volume Calculators


This equation, Equilateral Triangle Volume, is used in 2 pages
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