Volume of Gyrobifastigium given Total Surface Area Calculator

✖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 [TSA]

+10%

-10%

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

⎘ Copy

👎

Formula

✖

Volume of Gyrobifastigium given Total Surface Area

Formula

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

Example

`"858.772m³"=sqrt(3)/2*(sqrt("570m²"/(4+sqrt(3))))^3`

Calculator

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Volume of Gyrobifastigium given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Gyrobifastigium: 570 Square Meter --> 570 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(3)/2*(sqrt(TSA/(4+sqrt(3))))^3 --> sqrt(3)/2*(sqrt(570/(4+sqrt(3))))^3

Evaluating ... ...

V = 858.771984986053

STEP 3: Convert Result to Output's Unit

858.771984986053 Cubic Meter --> No Conversion Required

FINAL ANSWER

858.771984986053 ≈ 858.772 Cubic Meter <-- Volume of Gyrobifastigium

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Gyrobifastigium » Volume of Gyrobifastigium » Volume of Gyrobifastigium given Total Surface Area

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!

< 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 Total Surface Area Formula

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

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

How to calculate Volume of Gyrobifastigium given Total Surface Area using this online calculator? To use this online calculator for Volume of Gyrobifastigium given Total Surface Area, enter Total Surface Area of Gyrobifastigium (TSA) and hit the calculate button. Here is how the Volume of Gyrobifastigium given Total Surface Area calculation can be explained with given input values -> 858.772 = sqrt(3)/2*(sqrt(570/(4+sqrt(3))))^3.

FAQ

What is Volume of Gyrobifastigium given Total Surface Area?

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

How to calculate Volume of Gyrobifastigium given Total Surface Area?

The Volume of Gyrobifastigium given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium and is calculated using the total surface area of the Gyrobifastigium is calculated using Volume of Gyrobifastigium = sqrt(3)/2*(sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3))))^3. To calculate Volume of Gyrobifastigium given Total Surface Area, you need Total Surface Area of Gyrobifastigium (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^3

Home

FREE PDFs

🔍 Search