Total Surface Area 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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✖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 given Surface to Volume Ratio [TSA]

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Total Surface Area of Gyrobifastigium given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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

Evaluating ... ...

TSA = 512.475078057178

STEP 3: Convert Result to Output's Unit

512.475078057178 Square Meter --> No Conversion Required

FINAL ANSWER

512.475078057178 ≈ 512.4751 Square Meter <-- Total Surface Area of Gyrobifastigium

(Calculation completed in 00.013 seconds)

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< Surface Area of Gyrobifastigium Calculators

Total Surface Area of Gyrobifastigium given Surface to Volume Ratio

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

Total Surface Area of Gyrobifastigium given Volume

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

Total Surface Area of Gyrobifastigium given Height

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

Total Surface Area of Gyrobifastigium

LaTeX Go Total Surface Area of Gyrobifastigium = (4+sqrt(3))*Edge Length of Gyrobifastigium^2

Total Surface Area of Gyrobifastigium given Surface to Volume Ratio Formula

LaTeX Go

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

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 Total Surface Area of Gyrobifastigium given Surface to Volume Ratio?

Total Surface Area of Gyrobifastigium given Surface to Volume Ratio calculator uses Total Surface Area of Gyrobifastigium = (4+sqrt(3))*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^2 to calculate the Total Surface Area of Gyrobifastigium, The Total Surface Area of Gyrobifastigium given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium. Total Surface Area of Gyrobifastigium is denoted by TSA symbol.

How to calculate Total Surface Area of Gyrobifastigium given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area 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 Total Surface Area of Gyrobifastigium given Surface to Volume Ratio calculation can be explained with given input values -> 512.4751 = (4+sqrt(3))*((4+sqrt(3))/(sqrt(3)/2*0.7))^2.

FAQ

What is Total Surface Area of Gyrobifastigium given Surface to Volume Ratio?

The Total Surface Area of Gyrobifastigium given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium and is represented as TSA = (4+sqrt(3))*((4+sqrt(3))/(sqrt(3)/2*R_A/V))^2 or Total Surface Area of Gyrobifastigium = (4+sqrt(3))*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^2. 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 Total Surface Area of Gyrobifastigium given Surface to Volume Ratio?

The Total Surface Area of Gyrobifastigium given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium and is calculated using the surface to volume ratio of the Gyrobifastigium is calculated using Total Surface Area of Gyrobifastigium = (4+sqrt(3))*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^2. To calculate Total Surface Area 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 Total Surface Area of Gyrobifastigium?

In this formula, Total Surface Area 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 -

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

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