Third Right Angle Edge of Trirectangular Tetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Third RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron)
le(Right3) = (6*V)/(le(Right1)*le(Right2))
This formula uses 4 Variables
Variables Used
Third RA Edge of Trirectangular Tetrahedron - (Measured in Meter) - Third RA Edge of Trirectangular Tetrahedron is the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.
Volume of Trirectangular Tetrahedron - (Measured in Cubic Meter) - Volume of Trirectangular Tetrahedron is the total quantity of three-dimensional space enclosed by the surface of the Trirectangular Tetrahedron.
First RA Edge of Trirectangular Tetrahedron - (Measured in Meter) - First RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.
Second RA Edge of Trirectangular Tetrahedron - (Measured in Meter) - Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Trirectangular Tetrahedron: 120 Cubic Meter --> 120 Cubic Meter No Conversion Required
First RA Edge of Trirectangular Tetrahedron: 8 Meter --> 8 Meter No Conversion Required
Second RA Edge of Trirectangular Tetrahedron: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Right3) = (6*V)/(le(Right1)*le(Right2)) --> (6*120)/(8*9)
Evaluating ... ...
le(Right3) = 10
STEP 3: Convert Result to Output's Unit
10 Meter --> No Conversion Required
FINAL ANSWER
10 Meter <-- Third RA Edge of Trirectangular Tetrahedron
(Calculation completed in 00.020 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Third Right Angle Edge of Trirectangular Tetrahedron Calculators

Third Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area
​ LaTeX ​ Go Third RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron))/(First RA Edge of Trirectangular Tetrahedron+Second RA Edge of Trirectangular Tetrahedron+(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron)
Third Right Angle Edge of Trirectangular Tetrahedron given Volume
​ LaTeX ​ Go Third RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron)
Third Right Angle Edge of Trirectangular Tetrahedron given Second Base and Second Right Angle Edge
​ LaTeX ​ Go Third RA Edge of Trirectangular Tetrahedron = sqrt(Second Base Edge of Trirectangular Tetrahedron^2-Second RA Edge of Trirectangular Tetrahedron^2)
Third Right Angle Edge of Trirectangular Tetrahedron given Third Base and First Right Angle Edge
​ LaTeX ​ Go Third RA Edge of Trirectangular Tetrahedron = sqrt(Third Base Edge of Trirectangular Tetrahedron^2-First RA Edge of Trirectangular Tetrahedron^2)

Third Right Angle Edge of Trirectangular Tetrahedron given Volume Formula

​LaTeX ​Go
Third RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron)
le(Right3) = (6*V)/(le(Right1)*le(Right2))

What is a Trirectangular Tetrahedron?

In geometry, a Trirectangular Tetrahedron is a tetrahedron where all three face angles at one vertex are right angles. That vertex is called the right angle of the trirectangular tetrahedron and the face opposite it is called the base. The three edges that meet at the right angle are called the legs and the perpendicular from the right angle to the base is called the altitude of the tetrahedron.

How to Calculate Third Right Angle Edge of Trirectangular Tetrahedron given Volume?

Third Right Angle Edge of Trirectangular Tetrahedron given Volume calculator uses Third RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron) to calculate the Third RA Edge of Trirectangular Tetrahedron, Third Right Angle Edge of Trirectangular Tetrahedron given Volume formula is defined as the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the volume of Trirectangular Tetrahedron. Third RA Edge of Trirectangular Tetrahedron is denoted by le(Right3) symbol.

How to calculate Third Right Angle Edge of Trirectangular Tetrahedron given Volume using this online calculator? To use this online calculator for Third Right Angle Edge of Trirectangular Tetrahedron given Volume, enter Volume of Trirectangular Tetrahedron (V), First RA Edge of Trirectangular Tetrahedron (le(Right1)) & Second RA Edge of Trirectangular Tetrahedron (le(Right2)) and hit the calculate button. Here is how the Third Right Angle Edge of Trirectangular Tetrahedron given Volume calculation can be explained with given input values -> 10 = (6*120)/(8*9).

FAQ

What is Third Right Angle Edge of Trirectangular Tetrahedron given Volume?
Third Right Angle Edge of Trirectangular Tetrahedron given Volume formula is defined as the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the volume of Trirectangular Tetrahedron and is represented as le(Right3) = (6*V)/(le(Right1)*le(Right2)) or Third RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron). Volume of Trirectangular Tetrahedron is the total quantity of three-dimensional space enclosed by the surface of the Trirectangular Tetrahedron, First RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron & Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.
How to calculate Third Right Angle Edge of Trirectangular Tetrahedron given Volume?
Third Right Angle Edge of Trirectangular Tetrahedron given Volume formula is defined as the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the volume of Trirectangular Tetrahedron is calculated using Third RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron). To calculate Third Right Angle Edge of Trirectangular Tetrahedron given Volume, you need Volume of Trirectangular Tetrahedron (V), First RA Edge of Trirectangular Tetrahedron (le(Right1)) & Second RA Edge of Trirectangular Tetrahedron (le(Right2)). With our tool, you need to enter the respective value for Volume of Trirectangular Tetrahedron, First RA Edge of Trirectangular Tetrahedron & Second RA Edge of Trirectangular 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 Third RA Edge of Trirectangular Tetrahedron?
In this formula, Third RA Edge of Trirectangular Tetrahedron uses Volume of Trirectangular Tetrahedron, First RA Edge of Trirectangular Tetrahedron & Second RA Edge of Trirectangular Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Third RA Edge of Trirectangular Tetrahedron = sqrt(Second Base Edge of Trirectangular Tetrahedron^2-Second RA Edge of Trirectangular Tetrahedron^2)
  • Third RA Edge of Trirectangular Tetrahedron = sqrt(Third Base Edge of Trirectangular Tetrahedron^2-First RA Edge of Trirectangular Tetrahedron^2)
  • Third RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron))/(First RA Edge of Trirectangular Tetrahedron+Second RA Edge of Trirectangular Tetrahedron+(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron)
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