Volume 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]

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✖Volume of Gyrobifastigium is the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium.ⓘ Volume of Gyrobifastigium given Surface to Volume Ratio [V]

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Formula

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Volume of Gyrobifastigium given Surface to Volume Ratio

Formula

`"V" = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*"R"_{"A/V"}))^3`

Example

`"732.1073m³"=sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*"0.7m⁻¹"))^3`

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Volume of Gyrobifastigium given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gyrobifastigium = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^3
V = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*R_A/V))^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

Volume of Gyrobifastigium - (Measured in Cubic Meter) - Volume of Gyrobifastigium is the total quantity of three-dimensional space enclosed by the surface of the 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

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

Evaluating ... ...

V = 732.107254367397

STEP 3: Convert Result to Output's Unit

732.107254367397 Cubic Meter --> No Conversion Required

FINAL ANSWER

732.107254367397 ≈ 732.1073 Cubic Meter <-- Volume of Gyrobifastigium

(Calculation completed in 00.004 seconds)

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< 4 Volume of Gyrobifastigium Calculators

Volume of Gyrobifastigium given Surface to Volume Ratio

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

Volume of Gyrobifastigium given Total Surface Area

Go Volume of Gyrobifastigium = sqrt(3)/2*(sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3))))^3

Volume of Gyrobifastigium given Height

Go Volume of Gyrobifastigium = sqrt(3)/2*(Height of Gyrobifastigium/(sqrt(3)))^3

Volume of Gyrobifastigium

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

Volume of Gyrobifastigium given Surface to Volume Ratio Formula

Volume of Gyrobifastigium = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^3
V = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*R_A/V))^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 Volume of Gyrobifastigium given Surface to Volume Ratio?

Volume of Gyrobifastigium given Surface to Volume Ratio calculator uses Volume of Gyrobifastigium = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^3 to calculate the Volume of Gyrobifastigium, The Volume of Gyrobifastigium given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium. Volume of Gyrobifastigium is denoted by V symbol.

How to calculate Volume of Gyrobifastigium given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume 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 Volume of Gyrobifastigium given Surface to Volume Ratio calculation can be explained with given input values -> 732.1073 = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*0.7))^3.

FAQ

What is Volume of Gyrobifastigium given Surface to Volume Ratio?

The Volume of Gyrobifastigium given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium and is represented as V = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*R_A/V))^3 or Volume of Gyrobifastigium = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^3. 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 Volume of Gyrobifastigium given Surface to Volume Ratio?

The Volume of Gyrobifastigium given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium is calculated using Volume of Gyrobifastigium = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^3. To calculate Volume 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 Volume of Gyrobifastigium?

In this formula, Volume 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 -

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

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