Height 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]

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

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Height of Gyrobifastigium given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Gyrobifastigium = sqrt(3)*sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3)))
h = sqrt(3)*sqrt(TSA/(4+sqrt(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

Height of Gyrobifastigium - (Measured in Meter) - Height of Gyrobifastigium is the distance between the lowest and highest points 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

h = sqrt(3)*sqrt(TSA/(4+sqrt(3))) --> sqrt(3)*sqrt(570/(4+sqrt(3)))

Evaluating ... ...

h = 17.2720163159889

STEP 3: Convert Result to Output's Unit

17.2720163159889 Meter --> No Conversion Required

FINAL ANSWER

17.2720163159889 ≈ 17.27202 Meter <-- Height of Gyrobifastigium

(Calculation completed in 00.004 seconds)

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< Height of Gyrobifastigium Calculators

Height of Gyrobifastigium given Total Surface Area

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

Height of Gyrobifastigium given Volume

LaTeX Go Height of Gyrobifastigium = sqrt(3)*((2*Volume of Gyrobifastigium)/sqrt(3))^(1/3)

Height of Gyrobifastigium given Surface to Volume Ratio

LaTeX Go Height of Gyrobifastigium = (4+sqrt(3))/(Surface to Volume Ratio of Gyrobifastigium/2)

Height of Gyrobifastigium

LaTeX Go Height of Gyrobifastigium = sqrt(3)*Edge Length of Gyrobifastigium

Height of Gyrobifastigium given Total Surface Area Formula

LaTeX Go

Height of Gyrobifastigium = sqrt(3)*sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3)))
h = sqrt(3)*sqrt(TSA/(4+sqrt(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 Height of Gyrobifastigium given Total Surface Area?

Height of Gyrobifastigium given Total Surface Area calculator uses Height of Gyrobifastigium = sqrt(3)*sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3))) to calculate the Height of Gyrobifastigium, The Height of Gyrobifastigium given Total Surface Area formula is defined as the distance between the lowest and highest points of the Gyrobifastigium and is calculated using the total surface area of the Gyrobifastigium. Height of Gyrobifastigium is denoted by h symbol.

How to calculate Height of Gyrobifastigium given Total Surface Area using this online calculator? To use this online calculator for Height of Gyrobifastigium given Total Surface Area, enter Total Surface Area of Gyrobifastigium (TSA) and hit the calculate button. Here is how the Height of Gyrobifastigium given Total Surface Area calculation can be explained with given input values -> 17.27202 = sqrt(3)*sqrt(570/(4+sqrt(3))).

FAQ

What is Height of Gyrobifastigium given Total Surface Area?

The Height of Gyrobifastigium given Total Surface Area formula is defined as the distance between the lowest and highest points of the Gyrobifastigium and is calculated using the total surface area of the Gyrobifastigium and is represented as h = sqrt(3)*sqrt(TSA/(4+sqrt(3))) or Height of Gyrobifastigium = sqrt(3)*sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(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 Height of Gyrobifastigium given Total Surface Area?

The Height of Gyrobifastigium given Total Surface Area formula is defined as the distance between the lowest and highest points of the Gyrobifastigium and is calculated using the total surface area of the Gyrobifastigium is calculated using Height of Gyrobifastigium = sqrt(3)*sqrt(Total Surface Area of Gyrobifastigium/(4+sqrt(3))). To calculate Height 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 Height of Gyrobifastigium?

In this formula, Height of Gyrobifastigium uses Total Surface Area of Gyrobifastigium. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Gyrobifastigium = sqrt(3)*Edge Length of Gyrobifastigium
Height of Gyrobifastigium = sqrt(3)*((2*Volume of Gyrobifastigium)/sqrt(3))^(1/3)
Height of Gyrobifastigium = (4+sqrt(3))/(Surface to Volume Ratio of Gyrobifastigium/2)

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