Height of Half Tetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6)
h = sqrt(TSA/(sqrt(3)/2+1/4))/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.
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
h = sqrt(TSA/(sqrt(3)/2+1/4))/sqrt(6) --> sqrt(110/(sqrt(3)/2+1/4))/sqrt(6)
Evaluating ... ...
h = 4.05306601240572
STEP 3: Convert Result to Output's Unit
4.05306601240572 Meter --> No Conversion Required
FINAL ANSWER
4.05306601240572 4.053066 Meter <-- Height of Half Tetrahedron
(Calculation completed in 00.004 seconds)

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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 Total Surface Area Formula

​LaTeX ​Go
Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6)
h = sqrt(TSA/(sqrt(3)/2+1/4))/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 Total Surface Area?

Height of Half Tetrahedron given Total Surface Area calculator uses Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6) to calculate the Height of Half Tetrahedron, The Height of Half Tetrahedron given Total Surface Area formula is defined as the measure of vertical distance from one top to bottom face of a Half Tetrahedron, calculated using its total surface area. Height of Half Tetrahedron is denoted by h symbol.

How to calculate Height of Half Tetrahedron given Total Surface Area using this online calculator? To use this online calculator for Height of Half Tetrahedron given Total Surface Area, enter Total Surface Area of Half Tetrahedron (TSA) and hit the calculate button. Here is how the Height of Half Tetrahedron given Total Surface Area calculation can be explained with given input values -> 4.053066 = sqrt(110/(sqrt(3)/2+1/4))/sqrt(6).

FAQ

What is Height of Half Tetrahedron given Total Surface Area?
The Height of Half Tetrahedron given Total Surface Area formula is defined as the measure of vertical distance from one top to bottom face of a Half Tetrahedron, calculated using its total surface area and is represented as h = sqrt(TSA/(sqrt(3)/2+1/4))/sqrt(6) or Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6). 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 Height of Half Tetrahedron given Total Surface Area?
The Height of Half Tetrahedron given Total Surface Area formula is defined as the measure of vertical distance from one top to bottom face of a Half Tetrahedron, calculated using its total surface area is calculated using Height of Half Tetrahedron = sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4))/sqrt(6). To calculate Height 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 Height of Half Tetrahedron?
In this formula, Height 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 -
  • 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 = ((24*Volume of Half Tetrahedron)/(sqrt(2)))^(1/3)/sqrt(6)
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