Height of Half Tetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6)
h = ((24*V)/(sqrt(2)))^(1/3)/sqrt(6)
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
Height of Half Tetrahedron - (Measured in Meter) - The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.
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.
STEP 1: Convert Input(s) to Base Unit
Volume of Half Tetrahedron: 55 Cubic Meter --> 55 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = ((24*V)/(sqrt(2)))^(1/3)/sqrt(6) --> ((24*55)/(sqrt(2)))^(1/3)/sqrt(6)
Evaluating ... ...
h = 3.9897347120612
STEP 3: Convert Result to Output's Unit
3.9897347120612 Meter --> No Conversion Required
FINAL ANSWER
3.9897347120612 3.989735 Meter <-- Height of Half Tetrahedron
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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Height of Half Tetrahedron Calculators

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

Height of Half Tetrahedron given Volume Formula

​LaTeX ​Go
Height of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6)
h = ((24*V)/(sqrt(2)))^(1/3)/sqrt(6)

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 Height of Half Tetrahedron given Volume?

Height of Half Tetrahedron given Volume calculator uses Height of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6) to calculate the Height of Half Tetrahedron, The Height of Half Tetrahedron given Volume formula is defined as the measure of vertical distance from one top to bottom face of Half Tetrahedron, calculated using its volume. Height of Half Tetrahedron is denoted by h symbol.

How to calculate Height of Half Tetrahedron given Volume using this online calculator? To use this online calculator for Height of Half Tetrahedron given Volume, enter Volume of Half Tetrahedron (V) and hit the calculate button. Here is how the Height of Half Tetrahedron given Volume calculation can be explained with given input values -> 3.989735 = ((24*55)/(sqrt(2)))^(1/3)/sqrt(6).

FAQ

What is Height of Half Tetrahedron given Volume?
The Height of Half Tetrahedron given Volume formula is defined as the measure of vertical distance from one top to bottom face of Half Tetrahedron, calculated using its volume and is represented as h = ((24*V)/(sqrt(2)))^(1/3)/sqrt(6) or Height of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6). The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron.
How to calculate Height of Half Tetrahedron given Volume?
The Height of Half Tetrahedron given Volume formula is defined as the measure of vertical distance from one top to bottom face of Half Tetrahedron, calculated using its volume is calculated using Height of Half Tetrahedron = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6). To calculate Height of Half Tetrahedron given Volume, you need Volume of Half Tetrahedron (V). With our tool, you need to enter the respective value for Volume 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 Height of Half Tetrahedron?
In this formula, Height of Half Tetrahedron uses Volume of Half Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of Half Tetrahedron = Tetrahedral Edge of Half Tetrahedron/sqrt(6)
  • Height of Half Tetrahedron = (2*Half Edge of Half Tetrahedron)/sqrt(6)
  • Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6)
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