Volume of Half Tetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2)
V = ((sqrt(TSA/(sqrt(3)/2+1/4)))^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.
Total Surface Area of Half Tetrahedron - (Measured in Square Meter) - The Total Surface Area of Half Tetrahedron is the total area or region occupied by all the faces of the Half Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Half Tetrahedron: 110 Square Meter --> 110 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = ((sqrt(TSA/(sqrt(3)/2+1/4)))^3)/24*sqrt(2) --> ((sqrt(110/(sqrt(3)/2+1/4)))^3)/24*sqrt(2)
Evaluating ... ...
V = 57.6609327150567
STEP 3: Convert Result to Output's Unit
57.6609327150567 Cubic Meter --> No Conversion Required
FINAL ANSWER
57.6609327150567 57.66093 Cubic Meter <-- Volume of Half Tetrahedron
(Calculation completed in 00.004 seconds)

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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 given Total Surface Area Formula

​LaTeX ​Go
Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2)
V = ((sqrt(TSA/(sqrt(3)/2+1/4)))^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 given Total Surface Area?

Volume of Half Tetrahedron given Total Surface Area calculator uses Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2) to calculate the Volume of Half Tetrahedron, The Volume of Half Tetrahedron given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its total surface area. Volume of Half Tetrahedron is denoted by V symbol.

How to calculate Volume of Half Tetrahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Half Tetrahedron given Total Surface Area, enter Total Surface Area of Half Tetrahedron (TSA) and hit the calculate button. Here is how the Volume of Half Tetrahedron given Total Surface Area calculation can be explained with given input values -> 57.66093 = ((sqrt(110/(sqrt(3)/2+1/4)))^3)/24*sqrt(2).

FAQ

What is Volume of Half Tetrahedron given Total Surface Area?
The Volume of Half Tetrahedron given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its total surface area and is represented as V = ((sqrt(TSA/(sqrt(3)/2+1/4)))^3)/24*sqrt(2) or Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2). The Total Surface Area of Half Tetrahedron is the total area or region occupied by all the faces of the Half Tetrahedron.
How to calculate Volume of Half Tetrahedron given Total Surface Area?
The Volume of Half Tetrahedron given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its total surface area is calculated using Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2). To calculate Volume of Half Tetrahedron given Total Surface Area, you need Total Surface Area of Half Tetrahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area of Half Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2)
  • 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)
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