Edge Length of Gyrobifastigium given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Gyrobifastigium = (4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium)
le = (4+sqrt(3))/(sqrt(3)/2*RA/V)
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.
Surface to Volume Ratio of Gyrobifastigium - (Measured in 1 per Meter) - Surface to Volume Ratio of Gyrobifastigium is the numerical ratio of the total surface area of a Gyrobifastigium to the volume of the Gyrobifastigium.
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio of Gyrobifastigium: 0.7 1 per Meter --> 0.7 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = (4+sqrt(3))/(sqrt(3)/2*RA/V) --> (4+sqrt(3))/(sqrt(3)/2*0.7)
Evaluating ... ...
le = 9.45543164788144
STEP 3: Convert Result to Output's Unit
9.45543164788144 Meter --> No Conversion Required
FINAL ANSWER
9.45543164788144 9.455432 Meter <-- Edge Length of Gyrobifastigium
(Calculation completed in 00.004 seconds)

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4 Edge Length of Gyrobifastigium Calculators

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

Edge Length of Gyrobifastigium given Surface to Volume Ratio Formula

Edge Length of Gyrobifastigium = (4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium)
le = (4+sqrt(3))/(sqrt(3)/2*RA/V)

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 Surface to Volume Ratio?

Edge Length of Gyrobifastigium given Surface to Volume Ratio calculator uses Edge Length of Gyrobifastigium = (4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium) to calculate the Edge Length of Gyrobifastigium, The Edge Length of Gyrobifastigium given Surface to Volume Ratio formula is defined as the length of any edge of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium. Edge Length of Gyrobifastigium is denoted by le symbol.

How to calculate Edge Length of Gyrobifastigium given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Gyrobifastigium given Surface to Volume Ratio, enter Surface to Volume Ratio of Gyrobifastigium (RA/V) and hit the calculate button. Here is how the Edge Length of Gyrobifastigium given Surface to Volume Ratio calculation can be explained with given input values -> 9.455432 = (4+sqrt(3))/(sqrt(3)/2*0.7).

FAQ

What is Edge Length of Gyrobifastigium given Surface to Volume Ratio?
The Edge Length of Gyrobifastigium given Surface to Volume Ratio formula is defined as the length of any edge of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium and is represented as le = (4+sqrt(3))/(sqrt(3)/2*RA/V) or Edge Length of Gyrobifastigium = (4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium). Surface to Volume Ratio of Gyrobifastigium is the numerical ratio of the total surface area of a Gyrobifastigium to the volume of the Gyrobifastigium.
How to calculate Edge Length of Gyrobifastigium given Surface to Volume Ratio?
The Edge Length of Gyrobifastigium given Surface to Volume Ratio formula is defined as the length of any edge of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium is calculated using Edge Length of Gyrobifastigium = (4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium). To calculate Edge Length of Gyrobifastigium given Surface to Volume Ratio, you need Surface to Volume Ratio of Gyrobifastigium (RA/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio 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 = sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3)))
  • Edge Length of Gyrobifastigium = ((2*Volume of Gyrobifastigium)/sqrt(3))^(1/3)
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