Total Surface Area 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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✖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 Height [TSA]

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Total Surface Area of Gyrobifastigium given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

TSA = (4+sqrt(3))*(h/(sqrt(3)))^2 --> (4+sqrt(3))*(17/(sqrt(3)))^2

Evaluating ... ...

TSA = 552.187561129135

STEP 3: Convert Result to Output's Unit

552.187561129135 Square Meter --> No Conversion Required

FINAL ANSWER

552.187561129135 ≈ 552.1876 Square Meter <-- Total Surface Area of Gyrobifastigium

(Calculation completed in 00.004 seconds)

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< Surface Area of Gyrobifastigium Calculators

Total Surface Area of Gyrobifastigium given Surface to Volume Ratio

LaTeX 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

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

Total Surface Area of Gyrobifastigium given Height

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

Total Surface Area of Gyrobifastigium

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

Total Surface Area of Gyrobifastigium given Height Formula

LaTeX Go

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

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 Height?

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

How to calculate Total Surface Area of Gyrobifastigium given Height using this online calculator? To use this online calculator for Total Surface Area of Gyrobifastigium given Height, enter Height of Gyrobifastigium (h) and hit the calculate button. Here is how the Total Surface Area of Gyrobifastigium given Height calculation can be explained with given input values -> 552.1876 = (4+sqrt(3))*(17/(sqrt(3)))^2.

FAQ

What is Total Surface Area of Gyrobifastigium given Height?

The Total Surface Area of Gyrobifastigium given Height formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium and is calculated using the height of the Gyrobifastigium and is represented as TSA = (4+sqrt(3))*(h/(sqrt(3)))^2 or Total Surface Area of Gyrobifastigium = (4+sqrt(3))*(Height of Gyrobifastigium/(sqrt(3)))^2. Height of Gyrobifastigium is the distance between the lowest and highest points of the Gyrobifastigium.

How to calculate Total Surface Area of Gyrobifastigium given Height?

The Total Surface Area of Gyrobifastigium given Height formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium and is calculated using the height of the Gyrobifastigium is calculated using Total Surface Area of Gyrobifastigium = (4+sqrt(3))*(Height of Gyrobifastigium/(sqrt(3)))^2. To calculate Total Surface Area 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 Total Surface Area of Gyrobifastigium?

In this formula, Total Surface Area of Gyrobifastigium uses Height 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))*((2*Volume of Gyrobifastigium)/sqrt(3))^(2/3)
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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