Edge Length of Gyrobifastigium given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Gyrobifastigium is the numerical ratio of the total surface area of a Gyrobifastigium to the volume of the Gyrobifastigium.ⓘ Surface to Volume Ratio of Gyrobifastigium [R_A/V]

+10%

-10%

✖Edge Length of Gyrobifastigium is the length of any edge of a Gyrobifastigium.ⓘ Edge Length of Gyrobifastigium given Surface to Volume Ratio [l_e]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

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)
l_e = (4+sqrt(3))/(sqrt(3)/2*R_A/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

l_e = (4+sqrt(3))/(sqrt(3)/2*R_A/V) --> (4+sqrt(3))/(sqrt(3)/2*0.7)

Evaluating ... ...

l_e = 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 00.014 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Gyrobifastigium » Edge Length of Gyrobifastigium » Edge Length of Gyrobifastigium given Surface to Volume Ratio

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 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 Surface to Volume Ratio Formula

LaTeX Go

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

Home

FREE PDFs

🔍 Search