Volume of Half Tetrahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2)
V = (le(Tetrahedral)^3)/24*sqrt(2)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Volume of Half Tetrahedron - (Measured in Cubic Meter) - The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron.
Tetrahedral Edge of Half Tetrahedron - (Measured in Meter) - Tetrahedral Edge of Half Tetrahedron is defined as the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Tetrahedral Edge of Half Tetrahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (le(Tetrahedral)^3)/24*sqrt(2) --> (10^3)/24*sqrt(2)
Evaluating ... ...
V = 58.925565098879
STEP 3: Convert Result to Output's Unit
58.925565098879 Cubic Meter --> No Conversion Required
FINAL ANSWER
58.925565098879 58.92557 Cubic Meter <-- Volume of Half Tetrahedron
(Calculation completed in 00.006 seconds)

Credits

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Volume of Half Tetrahedron Calculators

Volume of Half Tetrahedron given Total Surface Area
​ LaTeX ​ Go Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2)
Volume of Half Tetrahedron given Height
​ LaTeX ​ Go Volume of Half Tetrahedron = ((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2)
Volume of Half Tetrahedron
​ LaTeX ​ Go Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2)
Volume of Half Tetrahedron given Half Edges
​ LaTeX ​ Go Volume of Half Tetrahedron = ((2*Half Edge of Half Tetrahedron)^3)/24*sqrt(2)

Volume of Half Tetrahedron Formula

​LaTeX ​Go
Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2)
V = (le(Tetrahedral)^3)/24*sqrt(2)

What is a Half Tetrahedron?

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. A regular tetrahedron which is cut into half, so that a long wedge with a square base is formed. One edge a of the tetrahedron remains, the other eight edges b have half the length

How to Calculate Volume of Half Tetrahedron?

Volume of Half Tetrahedron calculator uses Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2) to calculate the Volume of Half Tetrahedron, The Volume of Half Tetrahedron formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron. Volume of Half Tetrahedron is denoted by V symbol.

How to calculate Volume of Half Tetrahedron using this online calculator? To use this online calculator for Volume of Half Tetrahedron, enter Tetrahedral Edge of Half Tetrahedron (le(Tetrahedral)) and hit the calculate button. Here is how the Volume of Half Tetrahedron calculation can be explained with given input values -> 58.92557 = (10^3)/24*sqrt(2).

FAQ

What is Volume of Half Tetrahedron?
The Volume of Half Tetrahedron formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron and is represented as V = (le(Tetrahedral)^3)/24*sqrt(2) or Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2). Tetrahedral Edge of Half Tetrahedron is defined as the length of any edge of the Tetrahedron which is cut into half to form the Half Tetrahedron.
How to calculate Volume of Half Tetrahedron?
The Volume of Half Tetrahedron formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron is calculated using Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2). To calculate Volume of Half Tetrahedron, you need Tetrahedral Edge of Half Tetrahedron (le(Tetrahedral)). With our tool, you need to enter the respective value for Tetrahedral Edge of Half Tetrahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Volume of Half Tetrahedron?
In this formula, Volume of Half Tetrahedron uses Tetrahedral Edge of Half Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Half Tetrahedron = ((2*Half Edge of Half Tetrahedron)^3)/24*sqrt(2)
  • Volume of Half Tetrahedron = ((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2)
  • Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2)
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