Volume of Gyrobifastigium Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Gyrobifastigium = sqrt(3)/2*Edge Length of Gyrobifastigium^3
V = sqrt(3)/2*le^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.
Edge Length of Gyrobifastigium - (Measured in Meter) - Edge Length of Gyrobifastigium is the length of any edge of a Gyrobifastigium.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Gyrobifastigium: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = sqrt(3)/2*le^3 --> sqrt(3)/2*10^3
Evaluating ... ...
V = 866.025403784439
STEP 3: Convert Result to Output's Unit
866.025403784439 Cubic Meter --> No Conversion Required
FINAL ANSWER
866.025403784439 866.0254 Cubic Meter <-- Volume of Gyrobifastigium
(Calculation completed in 00.004 seconds)

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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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 Formula

Volume of Gyrobifastigium = sqrt(3)/2*Edge Length of Gyrobifastigium^3
V = sqrt(3)/2*le^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?

Volume of Gyrobifastigium calculator uses Volume of Gyrobifastigium = sqrt(3)/2*Edge Length of Gyrobifastigium^3 to calculate the Volume of Gyrobifastigium, The Volume of Gyrobifastigium formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium. Volume of Gyrobifastigium is denoted by V symbol.

How to calculate Volume of Gyrobifastigium using this online calculator? To use this online calculator for Volume of Gyrobifastigium, enter Edge Length of Gyrobifastigium (le) and hit the calculate button. Here is how the Volume of Gyrobifastigium calculation can be explained with given input values -> 866.0254 = sqrt(3)/2*10^3.

FAQ

What is Volume of Gyrobifastigium?
The Volume of Gyrobifastigium formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium and is represented as V = sqrt(3)/2*le^3 or Volume of Gyrobifastigium = sqrt(3)/2*Edge Length of Gyrobifastigium^3. Edge Length of Gyrobifastigium is the length of any edge of a Gyrobifastigium.
How to calculate Volume of Gyrobifastigium?
The Volume of Gyrobifastigium formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium is calculated using Volume of Gyrobifastigium = sqrt(3)/2*Edge Length of Gyrobifastigium^3. To calculate Volume of Gyrobifastigium, you need Edge Length of Gyrobifastigium (le). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Gyrobifastigium. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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
  • Volume of Gyrobifastigium = sqrt(3)/2*((4+sqrt(3))/(sqrt(3)/2*Surface to Volume Ratio of Gyrobifastigium))^3
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