Volume of Gyrobifastigium given Height Calculator

✖Height of Gyrobifastigium is the distance between the lowest and highest points of the Gyrobifastigium.ⓘ Height of Gyrobifastigium [h]

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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 Height [V]

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Formula

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Volume of Gyrobifastigium given Height

Formula

V = \frac{\sqrt{3}}{2} \cdot {(\frac{h}{\sqrt{3}})}^{3}

Example

818.8333 m³ = \frac{\sqrt{3}}{2} \cdot {(\frac{17 m}{\sqrt{3}})}^{3}

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Volume of Gyrobifastigium given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gyrobifastigium = sqrt(3)/2*(Height of Gyrobifastigium/(sqrt(3)))^3
V = sqrt(3)/2*(h/(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.
Height of Gyrobifastigium - (Measured in Meter) - Height of Gyrobifastigium is the distance between the lowest and highest points of the Gyrobifastigium.

STEP 1: Convert Input(s) to Base Unit

Height of Gyrobifastigium: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(3)/2*(h/(sqrt(3)))^3 --> sqrt(3)/2*(17/(sqrt(3)))^3

Evaluating ... ...

V = 818.833333333333

STEP 3: Convert Result to Output's Unit

818.833333333333 Cubic Meter --> No Conversion Required

FINAL ANSWER

818.833333333333 ≈ 818.8333 Cubic Meter <-- Volume of Gyrobifastigium

(Calculation completed in 00.004 seconds)

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< 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 Height Formula

Volume of Gyrobifastigium = sqrt(3)/2*(Height of Gyrobifastigium/(sqrt(3)))^3
V = sqrt(3)/2*(h/(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 Height?

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

How to calculate Volume of Gyrobifastigium given Height using this online calculator? To use this online calculator for Volume of Gyrobifastigium given Height, enter Height of Gyrobifastigium (h) and hit the calculate button. Here is how the Volume of Gyrobifastigium given Height calculation can be explained with given input values -> 818.8333 = sqrt(3)/2*(17/(sqrt(3)))^3.

FAQ

What is Volume of Gyrobifastigium given Height?

The Volume of Gyrobifastigium given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Gyrobifastigium and is calculated using the height of the Gyrobifastigium and is represented as V = sqrt(3)/2*(h/(sqrt(3)))^3 or Volume of Gyrobifastigium = sqrt(3)/2*(Height of Gyrobifastigium/(sqrt(3)))^3. Height of Gyrobifastigium is the distance between the lowest and highest points of the Gyrobifastigium.

How to calculate Volume of Gyrobifastigium given Height?

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