First Right Angle Edge of Trirectangular Tetrahedron given Volume Calculator

✖Volume of Trirectangular Tetrahedron is the total quantity of three-dimensional space enclosed by the surface of the Trirectangular Tetrahedron.ⓘ Volume of Trirectangular Tetrahedron [V]			+10% -10%
✖Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.ⓘ Second RA Edge of Trirectangular Tetrahedron [l_e(Right2)]			+10% -10%
✖Third RA Edge of Trirectangular Tetrahedron is the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.ⓘ Third RA Edge of Trirectangular Tetrahedron [l_e(Right3)]			+10% -10%

✖First RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.ⓘ First Right Angle Edge of Trirectangular Tetrahedron given Volume [l_e(Right1)]

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First Right Angle Edge of Trirectangular Tetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

First RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)
l_e(Right1) = (6*V)/(l_e(Right2)*l_e(Right3))
This formula uses 4 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Trirectangular Tetrahedron: 120 Cubic Meter --> 120 Cubic Meter No Conversion Required
Second RA Edge of Trirectangular Tetrahedron: 9 Meter --> 9 Meter No Conversion Required
Third RA Edge of Trirectangular Tetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Right1) = (6*V)/(l_e(Right2)*l_e(Right3)) --> (6*120)/(9*10)

Evaluating ... ...

l_e(Right1) = 8

STEP 3: Convert Result to Output's Unit

8 Meter --> No Conversion Required

FINAL ANSWER

8 Meter <-- First RA Edge of Trirectangular Tetrahedron

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< First Right Angle Edge of Trirectangular Tetrahedron Calculators

First Right Angle Edge of Trirectangular Tetrahedron given Total Surface Area

LaTeX Go First RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(Second RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron)

First Right Angle Edge of Trirectangular Tetrahedron given Volume

LaTeX Go First RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)

First Right Angle Edge of Trirectangular Tetrahedron given First Base and Second Right Angle Edge

LaTeX Go First RA Edge of Trirectangular Tetrahedron = sqrt(First Base Edge of Trirectangular Tetrahedron^2-Second RA Edge of Trirectangular Tetrahedron^2)

First Right Angle Edge of Trirectangular Tetrahedron given Third Base and Third Right Angle Edge

LaTeX Go First RA Edge of Trirectangular Tetrahedron = sqrt(Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)

First Right Angle Edge of Trirectangular Tetrahedron given Volume Formula

LaTeX Go

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 First Right Angle Edge of Trirectangular Tetrahedron given Volume?

First Right Angle Edge of Trirectangular Tetrahedron given Volume calculator uses First RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron) to calculate the First RA Edge of Trirectangular Tetrahedron, First Right Angle Edge of Trirectangular Tetrahedron given Volume formula is defined as the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the volume of Trirectangular Tetrahedron. First RA Edge of Trirectangular Tetrahedron is denoted by l_e(Right1) symbol.

How to calculate First Right Angle Edge of Trirectangular Tetrahedron given Volume using this online calculator? To use this online calculator for First Right Angle Edge of Trirectangular Tetrahedron given Volume, enter Volume of Trirectangular Tetrahedron (V), Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)) & Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) and hit the calculate button. Here is how the First Right Angle Edge of Trirectangular Tetrahedron given Volume calculation can be explained with given input values -> 8 = (6*120)/(9*10).

FAQ

What is First Right Angle Edge of Trirectangular Tetrahedron given Volume?

First Right Angle Edge of Trirectangular Tetrahedron given Volume formula is defined as the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the volume of Trirectangular Tetrahedron and is represented as l_e(Right1) = (6*V)/(l_e(Right2)*l_e(Right3)) or First RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(Second RA Edge of Trirectangular Tetrahedron*Third 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, Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron & Third RA Edge of Trirectangular Tetrahedron is the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.

How to calculate First Right Angle Edge of Trirectangular Tetrahedron given Volume?

First Right Angle Edge of Trirectangular Tetrahedron given Volume formula is defined as the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron, calculated using the volume of Trirectangular Tetrahedron is calculated using First RA Edge of Trirectangular Tetrahedron = (6*Volume of Trirectangular Tetrahedron)/(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron). To calculate First Right Angle Edge of Trirectangular Tetrahedron given Volume, you need Volume of Trirectangular Tetrahedron (V), Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)) & Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)). With our tool, you need to enter the respective value for Volume of Trirectangular Tetrahedron, Second RA Edge of Trirectangular Tetrahedron & Third 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 First RA Edge of Trirectangular Tetrahedron?

In this formula, First RA Edge of Trirectangular Tetrahedron uses Volume of Trirectangular Tetrahedron, Second RA Edge of Trirectangular Tetrahedron & Third RA Edge of Trirectangular Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

First RA Edge of Trirectangular Tetrahedron = sqrt(First Base Edge of Trirectangular Tetrahedron^2-Second RA Edge of Trirectangular Tetrahedron^2)
First RA Edge of Trirectangular Tetrahedron = sqrt(Third Base Edge of Trirectangular Tetrahedron^2-Third RA Edge of Trirectangular Tetrahedron^2)
First RA Edge of Trirectangular Tetrahedron = ((2*Total Surface Area of Trirectangular Tetrahedron)-(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron))/(Second RA Edge of Trirectangular Tetrahedron+Third RA Edge of Trirectangular Tetrahedron+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron)

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