Total Surface Area of Gyrobifastigium given Volume Calculator

✖Volume of Gyrobifastigium is the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium.ⓘ Volume of Gyrobifastigium [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 Volume [TSA]

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Formula

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Total Surface Area of Gyrobifastigium given Volume

Formula

`"TSA" = (4+sqrt(3))*((2*"V")/sqrt(3))^(2/3)`

Example

`"570.5433m²"=(4+sqrt(3))*((2*"860m³")/sqrt(3))^(2/3)`

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Total Surface Area of Gyrobifastigium given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Gyrobifastigium: 860 Cubic Meter --> 860 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (4+sqrt(3))*((2*V)/sqrt(3))^(2/3) --> (4+sqrt(3))*((2*860)/sqrt(3))^(2/3)

Evaluating ... ...

TSA = 570.543257779098

STEP 3: Convert Result to Output's Unit

570.543257779098 Square Meter --> No Conversion Required

FINAL ANSWER

570.543257779098 ≈ 570.5433 Square Meter <-- Total Surface Area of Gyrobifastigium

(Calculation completed in 00.004 seconds)

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< 4 Surface Area of Gyrobifastigium Calculators

Total Surface Area of Gyrobifastigium given Surface to Volume Ratio

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

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

Total Surface Area of Gyrobifastigium given Height

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

Total Surface Area of Gyrobifastigium

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

Total Surface Area of Gyrobifastigium given Volume Formula

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

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 Total Surface Area of Gyrobifastigium given Volume?

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

How to calculate Total Surface Area of Gyrobifastigium given Volume using this online calculator? To use this online calculator for Total Surface Area of Gyrobifastigium given Volume, enter Volume of Gyrobifastigium (V) and hit the calculate button. Here is how the Total Surface Area of Gyrobifastigium given Volume calculation can be explained with given input values -> 570.5433 = (4+sqrt(3))*((2*860)/sqrt(3))^(2/3).

FAQ

What is Total Surface Area of Gyrobifastigium given Volume?

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

How to calculate Total Surface Area of Gyrobifastigium given Volume?

The Total Surface Area of Gyrobifastigium given Volume formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium and is calculated using the volume of the Gyrobifastigium is calculated using Total Surface Area of Gyrobifastigium = (4+sqrt(3))*((2*Volume of Gyrobifastigium)/sqrt(3))^(2/3). To calculate Total Surface Area of Gyrobifastigium given Volume, you need Volume of Gyrobifastigium (V). With our tool, you need to enter the respective value for Volume 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 Volume 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))*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^2

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