Edge Length of Truncated Tetrahedron given Total Surface Area Calculator

✖Total Surface Area of Truncated Tetrahedron is the quantity of total two dimensional space enclosed on the entire surface of the Truncated Tetrahedron.ⓘ Total Surface Area of Truncated Tetrahedron [TSA]

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✖Edge Length of Truncated Tetrahedron is the length of any edge of the Truncated Tetrahedron.ⓘ Edge Length of Truncated Tetrahedron given Total Surface Area [l_e]

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Formula

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Edge Length of Truncated Tetrahedron given Total Surface Area

Formula

`"l"_{"e"} = sqrt("TSA"/(7*sqrt(3)))`

Example

`"9.948584m"=sqrt("1200m²"/(7*sqrt(3)))`

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Edge Length of Truncated Tetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Truncated Tetrahedron = sqrt(Total Surface Area of Truncated Tetrahedron/(7*sqrt(3)))
l_e = sqrt(TSA/(7*sqrt(3)))
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

Edge Length of Truncated Tetrahedron - (Measured in Meter) - Edge Length of Truncated Tetrahedron is the length of any edge of the Truncated Tetrahedron.
Total Surface Area of Truncated Tetrahedron - (Measured in Square Meter) - Total Surface Area of Truncated Tetrahedron is the quantity of total two dimensional space enclosed on the entire surface of the Truncated Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Truncated Tetrahedron: 1200 Square Meter --> 1200 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(TSA/(7*sqrt(3))) --> sqrt(1200/(7*sqrt(3)))

Evaluating ... ...

l_e = 9.94858441493455

STEP 3: Convert Result to Output's Unit

9.94858441493455 Meter --> No Conversion Required

FINAL ANSWER

9.94858441493455 ≈ 9.948584 Meter <-- Edge Length of Truncated Tetrahedron

(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< 3 Edge Length of Truncated Tetrahedron Calculators

Edge Length of Truncated Tetrahedron given Total Surface Area

Go Edge Length of Truncated Tetrahedron = sqrt(Total Surface Area of Truncated Tetrahedron/(7*sqrt(3)))

Edge Length of Truncated Tetrahedron given Volume

Go Edge Length of Truncated Tetrahedron = ((12*Volume of Truncated Tetrahedron)/(23*sqrt(2)))^(1/3)

Edge Length of Truncated Tetrahedron given Tetrahedral Edge Length

Go Edge Length of Truncated Tetrahedron = Tetrahedral Edge Length of Truncated Tetrahedron/3

Edge Length of Truncated Tetrahedron given Total Surface Area Formula

Edge Length of Truncated Tetrahedron = sqrt(Total Surface Area of Truncated Tetrahedron/(7*sqrt(3)))
l_e = sqrt(TSA/(7*sqrt(3)))

What is a Truncated Tetrahedron?

A Truncated Tetrahedron is constructed by cutting off the vertices of a tetrahedron in a way, so that every edge has the same length. Its dual body is the triakis tetrahedron. A Truncated Tetrahedron has 8 faces which include 4 hexagonal faces and 4 triangular faces, 18 edges and 12 vertices.

How to Calculate Edge Length of Truncated Tetrahedron given Total Surface Area?

Edge Length of Truncated Tetrahedron given Total Surface Area calculator uses Edge Length of Truncated Tetrahedron = sqrt(Total Surface Area of Truncated Tetrahedron/(7*sqrt(3))) to calculate the Edge Length of Truncated Tetrahedron, Edge Length of Truncated Tetrahedron given Total Surface Area formula is defined as the length of any edge of the Truncated Tetrahedron, and calculated using the total surface area of Truncated Tetrahedron. Edge Length of Truncated Tetrahedron is denoted by l_e symbol.

How to calculate Edge Length of Truncated Tetrahedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Truncated Tetrahedron given Total Surface Area, enter Total Surface Area of Truncated Tetrahedron (TSA) and hit the calculate button. Here is how the Edge Length of Truncated Tetrahedron given Total Surface Area calculation can be explained with given input values -> 9.948584 = sqrt(1200/(7*sqrt(3))).

FAQ

What is Edge Length of Truncated Tetrahedron given Total Surface Area?

Edge Length of Truncated Tetrahedron given Total Surface Area formula is defined as the length of any edge of the Truncated Tetrahedron, and calculated using the total surface area of Truncated Tetrahedron and is represented as l_e = sqrt(TSA/(7*sqrt(3))) or Edge Length of Truncated Tetrahedron = sqrt(Total Surface Area of Truncated Tetrahedron/(7*sqrt(3))). Total Surface Area of Truncated Tetrahedron is the quantity of total two dimensional space enclosed on the entire surface of the Truncated Tetrahedron.

How to calculate Edge Length of Truncated Tetrahedron given Total Surface Area?

Edge Length of Truncated Tetrahedron given Total Surface Area formula is defined as the length of any edge of the Truncated Tetrahedron, and calculated using the total surface area of Truncated Tetrahedron is calculated using Edge Length of Truncated Tetrahedron = sqrt(Total Surface Area of Truncated Tetrahedron/(7*sqrt(3))). To calculate Edge Length of Truncated Tetrahedron given Total Surface Area, you need Total Surface Area of Truncated Tetrahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Truncated 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 Edge Length of Truncated Tetrahedron?

In this formula, Edge Length of Truncated Tetrahedron uses Total Surface Area of Truncated Tetrahedron. We can use 2 other way(s) to calculate the same, which is/are as follows -

Edge Length of Truncated Tetrahedron = Tetrahedral Edge Length of Truncated Tetrahedron/3
Edge Length of Truncated Tetrahedron = ((12*Volume of Truncated Tetrahedron)/(23*sqrt(2)))^(1/3)

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