Edge Length of Gyrobifastigium given Total Surface Area Calculator

✖Total Surface Area of Gyrobifastigium is the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium.ⓘ Total Surface Area of Gyrobifastigium [TSA]

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

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Edge Length of Gyrobifastigium given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Gyrobifastigium = sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3)))
l_e = sqrt(TSA/(4+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 Gyrobifastigium - (Measured in Meter) - Edge Length of Gyrobifastigium is the length of any edge of a Gyrobifastigium.
Total Surface Area of Gyrobifastigium - (Measured in Square Meter) - Total Surface Area of Gyrobifastigium is the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Gyrobifastigium: 570 Square Meter --> 570 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(TSA/(4+sqrt(3))) --> sqrt(570/(4+sqrt(3)))

Evaluating ... ...

l_e = 9.97200326948379

STEP 3: Convert Result to Output's Unit

9.97200326948379 Meter --> No Conversion Required

FINAL ANSWER

9.97200326948379 ≈ 9.972003 Meter <-- Edge Length of Gyrobifastigium

(Calculation completed in 00.006 seconds)

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< Edge Length of Gyrobifastigium Calculators

Edge Length of Gyrobifastigium given Surface to Volume Ratio

LaTeX Go Edge Length of Gyrobifastigium = (4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium)

Edge Length of Gyrobifastigium given Total Surface Area

LaTeX Go Edge Length of Gyrobifastigium = sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3)))

Edge Length of Gyrobifastigium given Volume

LaTeX Go Edge Length of Gyrobifastigium = ((2*Volume of Gyrobifastigium)/sqrt(3))^(1/3)

Edge Length of Gyrobifastigium given Height

LaTeX Go Edge Length of Gyrobifastigium = Height of Gyrobifastigium/(sqrt(3))

Edge Length of Gyrobifastigium given Total Surface Area Formula

LaTeX Go

Edge Length of Gyrobifastigium = sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3)))
l_e = sqrt(TSA/(4+sqrt(3)))

What is a Gyrobifastigium?

A Gyrobifastigium is a right wedge with regular polygons as faces, on which another such, twisted for 90 degrees, is attached base to base. It is the Johnson solid generally denoted by J26. The gyrobifastigium is the only Johnson solid, which can tile space without gaps. It has 8 faces which include 4 equilateral triangular faces and 4 square faces. Also it has 14 edges and 8 vertices.

How to Calculate Edge Length of Gyrobifastigium given Total Surface Area?

Edge Length of Gyrobifastigium given Total Surface Area calculator uses Edge Length of Gyrobifastigium = sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3))) to calculate the Edge Length of Gyrobifastigium, The Edge Length of Gyrobifastigium given Total Surface Area formula is defined as the length of any edge of the Gyrobifastigium and is calculated using the total surface area of the Gyrobifastigium. Edge Length of Gyrobifastigium is denoted by l_e symbol.

How to calculate Edge Length of Gyrobifastigium given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Gyrobifastigium given Total Surface Area, enter Total Surface Area of Gyrobifastigium (TSA) and hit the calculate button. Here is how the Edge Length of Gyrobifastigium given Total Surface Area calculation can be explained with given input values -> 9.972003 = sqrt(570/(4+sqrt(3))).

FAQ

What is Edge Length of Gyrobifastigium given Total Surface Area?

The Edge Length of Gyrobifastigium given Total Surface Area formula is defined as the length of any edge of the Gyrobifastigium and is calculated using the total surface area of the Gyrobifastigium and is represented as l_e = sqrt(TSA/(4+sqrt(3))) or Edge Length of Gyrobifastigium = sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3))). Total Surface Area of Gyrobifastigium is the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium.

How to calculate Edge Length of Gyrobifastigium given Total Surface Area?

The Edge Length of Gyrobifastigium given Total Surface Area formula is defined as the length of any edge of the Gyrobifastigium and is calculated using the total surface area of the Gyrobifastigium is calculated using Edge Length of Gyrobifastigium = sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3))). To calculate Edge Length of Gyrobifastigium given Total Surface Area, you need Total Surface Area of Gyrobifastigium (TSA). With our tool, you need to enter the respective value for Total Surface Area of Gyrobifastigium 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 Gyrobifastigium?

In this formula, Edge Length of Gyrobifastigium uses Total Surface Area of Gyrobifastigium. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Gyrobifastigium = Height of Gyrobifastigium/(sqrt(3))
Edge Length of Gyrobifastigium = ((2*Volume of Gyrobifastigium)/sqrt(3))^(1/3)
Edge Length of Gyrobifastigium = (4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium)

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