Edge Length of Disheptahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Disheptahedron = sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))
le = sqrt(TSA/(2*(3+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
Edge Length of Disheptahedron - (Measured in Meter) - Edge Length of Disheptahedron is the length of any edge of a Disheptahedron.
Total Surface Area of Disheptahedron - (Measured in Square Meter) - Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Disheptahedron: 950 Square Meter --> 950 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = sqrt(TSA/(2*(3+sqrt(3)))) --> sqrt(950/(2*(3+sqrt(3))))
Evaluating ... ...
le = 10.0189476027906
STEP 3: Convert Result to Output's Unit
10.0189476027906 Meter --> No Conversion Required
FINAL ANSWER
10.0189476027906 10.01895 Meter <-- Edge Length of Disheptahedron
(Calculation completed in 00.006 seconds)

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St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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Edge Length of Disheptahedron Calculators

Edge Length of Disheptahedron given Surface to Volume Ratio
​ LaTeX ​ Go Edge Length of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
Edge Length of Disheptahedron given Total Surface Area
​ LaTeX ​ Go Edge Length of Disheptahedron = sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))
Edge Length of Disheptahedron given Volume
​ LaTeX ​ Go Edge Length of Disheptahedron = ((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)
Edge Length of Disheptahedron given Midsphere Radius
​ LaTeX ​ Go Edge Length of Disheptahedron = (2*Midsphere Radius of Disheptahedron)/sqrt(3)

Edge Length of Disheptahedron given Total Surface Area Formula

​LaTeX ​Go
Edge Length of Disheptahedron = sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))
le = sqrt(TSA/(2*(3+sqrt(3))))

What is a Disheptahedron?

A Disheptahedron is a symmetric, closed, and convex polyhedron, which is the Johnson solid generally denoted by J27. It is also called anticuboctahedron or twisted cuboctahedron or triangular orthobicupola. It has 14 faces which include 8 equilateral triangular faces and 6 square faces. Also, It has 24 edges and 12 vertices.

How to Calculate Edge Length of Disheptahedron given Total Surface Area?

Edge Length of Disheptahedron given Total Surface Area calculator uses Edge Length of Disheptahedron = sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))) to calculate the Edge Length of Disheptahedron, The Edge Length of Disheptahedron given Total Surface Area formula is defined as the length of any edge of the Disheptahedron and is calculated using the total surface area of the Disheptahedron. Edge Length of Disheptahedron is denoted by le symbol.

How to calculate Edge Length of Disheptahedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Disheptahedron given Total Surface Area, enter Total Surface Area of Disheptahedron (TSA) and hit the calculate button. Here is how the Edge Length of Disheptahedron given Total Surface Area calculation can be explained with given input values -> 10.01895 = sqrt(950/(2*(3+sqrt(3)))).

FAQ

What is Edge Length of Disheptahedron given Total Surface Area?
The Edge Length of Disheptahedron given Total Surface Area formula is defined as the length of any edge of the Disheptahedron and is calculated using the total surface area of the Disheptahedron and is represented as le = sqrt(TSA/(2*(3+sqrt(3)))) or Edge Length of Disheptahedron = sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))). Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.
How to calculate Edge Length of Disheptahedron given Total Surface Area?
The Edge Length of Disheptahedron given Total Surface Area formula is defined as the length of any edge of the Disheptahedron and is calculated using the total surface area of the Disheptahedron is calculated using Edge Length of Disheptahedron = sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))). To calculate Edge Length of Disheptahedron given Total Surface Area, you need Total Surface Area of Disheptahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Disheptahedron 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 Edge Length of Disheptahedron?
In this formula, Edge Length of Disheptahedron uses Total Surface Area of Disheptahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Disheptahedron = ((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)
  • Edge Length of Disheptahedron = (2*Midsphere Radius of Disheptahedron)/sqrt(3)
  • Edge Length of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
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