Total Surface Area of Gyrobifastigium Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Gyrobifastigium = (4+sqrt(3))*Edge Length of Gyrobifastigium^2
TSA = (4+sqrt(3))*le^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.
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
TSA = (4+sqrt(3))*le^2 --> (4+sqrt(3))*10^2
Evaluating ... ...
TSA = 573.205080756888
STEP 3: Convert Result to Output's Unit
573.205080756888 Square Meter --> No Conversion Required
FINAL ANSWER
573.205080756888 573.2051 Square Meter <-- Total Surface Area of Gyrobifastigium
(Calculation completed in 00.004 seconds)

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4 Surface Area of Gyrobifastigium Calculators

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

Total Surface Area of Gyrobifastigium Formula

Total Surface Area of Gyrobifastigium = (4+sqrt(3))*Edge Length of Gyrobifastigium^2
TSA = (4+sqrt(3))*le^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?

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

How to calculate Total Surface Area of Gyrobifastigium using this online calculator? To use this online calculator for Total Surface Area of Gyrobifastigium, enter Edge Length of Gyrobifastigium (le) and hit the calculate button. Here is how the Total Surface Area of Gyrobifastigium calculation can be explained with given input values -> 573.2051 = (4+sqrt(3))*10^2.

FAQ

What is Total Surface Area of Gyrobifastigium?
The Total Surface Area of Gyrobifastigium formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium and is represented as TSA = (4+sqrt(3))*le^2 or Total Surface Area of Gyrobifastigium = (4+sqrt(3))*Edge Length of Gyrobifastigium^2. Edge Length of Gyrobifastigium is the length of any edge of a Gyrobifastigium.
How to calculate Total Surface Area of Gyrobifastigium?
The Total Surface Area of Gyrobifastigium formula is defined as the total amount of two-dimensional space occupied by all the faces of the Gyrobifastigium is calculated using Total Surface Area of Gyrobifastigium = (4+sqrt(3))*Edge Length of Gyrobifastigium^2. To calculate Total Surface Area 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 Total Surface Area of Gyrobifastigium?
In this formula, Total Surface Area of Gyrobifastigium uses Edge Length 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))*(Height of Gyrobifastigium/(sqrt(3)))^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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