Total Surface Area of Trirectangular Tetrahedron Calculator

✖First RA Edge of Trirectangular Tetrahedron is the first edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron.ⓘ First RA Edge of Trirectangular Tetrahedron [l_e(Right1)]			+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%
✖Height of Trirectangular Tetrahedron is the vertical distance from the acute triangular face of the Trirectangular Tetrahedron to the opposite corner where the right angle edges are joining.ⓘ Height of Trirectangular Tetrahedron [h]			+10% -10%

✖Total Surface Area of Trirectangular Tetrahedron is the total quantity of plane enclosed by the entire surface of the Trirectangular Tetrahedron.ⓘ Total Surface Area of Trirectangular Tetrahedron [TSA]

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Total Surface Area of Trirectangular Tetrahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Trirectangular Tetrahedron = (First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron)/2+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/(2*Height of Trirectangular Tetrahedron)
TSA = (l_e(Right1)*l_e(Right2))/2+(l_e(Right2)*l_e(Right3))/2+(l_e(Right1)*l_e(Right3))/2+(l_e(Right1)*l_e(Right2)*l_e(Right3))/(2*h)
This formula uses 5 Variables

Variables Used

Total Surface Area of Trirectangular Tetrahedron - (Measured in Square Meter) - Total Surface Area of Trirectangular Tetrahedron is the total quantity of plane enclosed by the entire 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.
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.
Height of Trirectangular Tetrahedron - (Measured in Meter) - Height of Trirectangular Tetrahedron is the vertical distance from the acute triangular face of the Trirectangular Tetrahedron to the opposite corner where the right angle edges are joining.

STEP 1: Convert Input(s) to Base Unit

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
Third RA Edge of Trirectangular Tetrahedron: 10 Meter --> 10 Meter No Conversion Required
Height of Trirectangular Tetrahedron: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (l_e(Right1)*l_e(Right2))/2+(l_e(Right2)*l_e(Right3))/2+(l_e(Right1)*l_e(Right3))/2+(l_e(Right1)*l_e(Right2)*l_e(Right3))/(2*h) --> (8*9)/2+(9*10)/2+(8*10)/2+(8*9*10)/(2*5)

Evaluating ... ...

TSA = 193

STEP 3: Convert Result to Output's Unit

193 Square Meter --> No Conversion Required

FINAL ANSWER

193 Square Meter <-- Total Surface Area of Trirectangular Tetrahedron

(Calculation completed in 00.007 seconds)

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< Surface Area of Trirectangular Tetrahedron Calculators

Total Surface Area of Trirectangular Tetrahedron

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

Total Surface Area of Trirectangular Tetrahedron given Volume, Second and Third Right Angle Edge

LaTeX Go Total Surface Area of Trirectangular Tetrahedron = (Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(3*Volume of Trirectangular Tetrahedron)/Third RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Second RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron

Total Surface Area of Trirectangular Tetrahedron given Volume, First and Second Right Angle Edge

LaTeX Go Total Surface Area of Trirectangular Tetrahedron = (Second RA Edge of Trirectangular Tetrahedron*First RA Edge of Trirectangular Tetrahedron)/2+(3*Volume of Trirectangular Tetrahedron)/First RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Second RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron

Total Surface Area of Trirectangular Tetrahedron given Volume, First and Third Right Angle Edge

LaTeX Go Total Surface Area of Trirectangular Tetrahedron = (First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(3*Volume of Trirectangular Tetrahedron)/Third RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/First RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron

Total Surface Area of Trirectangular Tetrahedron 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 Total Surface Area of Trirectangular Tetrahedron?

Total Surface Area of Trirectangular Tetrahedron calculator uses Total Surface Area of Trirectangular Tetrahedron = (First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron)/2+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/(2*Height of Trirectangular Tetrahedron) to calculate the Total Surface Area of Trirectangular Tetrahedron, Total Surface Area of Trirectangular Tetrahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Trirectangular Tetrahedron. Total Surface Area of Trirectangular Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Trirectangular Tetrahedron using this online calculator? To use this online calculator for Total Surface Area of Trirectangular Tetrahedron, enter First RA Edge of Trirectangular Tetrahedron (l_e(Right1)), Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)), Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) & Height of Trirectangular Tetrahedron (h) and hit the calculate button. Here is how the Total Surface Area of Trirectangular Tetrahedron calculation can be explained with given input values -> 193 = (8*9)/2+(9*10)/2+(8*10)/2+(8*9*10)/(2*5).

FAQ

What is Total Surface Area of Trirectangular Tetrahedron?

Total Surface Area of Trirectangular Tetrahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Trirectangular Tetrahedron and is represented as TSA = (l_e(Right1)*l_e(Right2))/2+(l_e(Right2)*l_e(Right3))/2+(l_e(Right1)*l_e(Right3))/2+(l_e(Right1)*l_e(Right2)*l_e(Right3))/(2*h) or Total Surface Area of Trirectangular Tetrahedron = (First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron)/2+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/(2*Height of 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, Third RA Edge of Trirectangular Tetrahedron is the third edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron & Height of Trirectangular Tetrahedron is the vertical distance from the acute triangular face of the Trirectangular Tetrahedron to the opposite corner where the right angle edges are joining.

How to calculate Total Surface Area of Trirectangular Tetrahedron?

Total Surface Area of Trirectangular Tetrahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Trirectangular Tetrahedron is calculated using Total Surface Area of Trirectangular Tetrahedron = (First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron)/2+(Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(First RA Edge of Trirectangular Tetrahedron*Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/(2*Height of Trirectangular Tetrahedron). To calculate Total Surface Area of Trirectangular Tetrahedron, you need First RA Edge of Trirectangular Tetrahedron (l_e(Right1)), Second RA Edge of Trirectangular Tetrahedron (l_e(Right2)), Third RA Edge of Trirectangular Tetrahedron (l_e(Right3)) & Height of Trirectangular Tetrahedron (h). With our tool, you need to enter the respective value for First RA Edge of Trirectangular Tetrahedron, Second RA Edge of Trirectangular Tetrahedron, Third RA Edge of Trirectangular Tetrahedron & Height 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 Total Surface Area of Trirectangular Tetrahedron?

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

Total Surface Area of Trirectangular Tetrahedron = (Second RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(3*Volume of Trirectangular Tetrahedron)/Third RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Second RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron
Total Surface Area of Trirectangular Tetrahedron = (First RA Edge of Trirectangular Tetrahedron*Third RA Edge of Trirectangular Tetrahedron)/2+(3*Volume of Trirectangular Tetrahedron)/Third RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/First RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron
Total Surface Area of Trirectangular Tetrahedron = (Second RA Edge of Trirectangular Tetrahedron*First RA Edge of Trirectangular Tetrahedron)/2+(3*Volume of Trirectangular Tetrahedron)/First RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Second RA Edge of Trirectangular Tetrahedron+(3*Volume of Trirectangular Tetrahedron)/Height of Trirectangular Tetrahedron

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