Edge Length of Disheptahedron given Midsphere Radius Calculator

✖Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.ⓘ Midsphere Radius of Disheptahedron [r_m]

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✖Edge Length of Disheptahedron is the length of any edge of a Disheptahedron.ⓘ Edge Length of Disheptahedron given Midsphere Radius [l_e]

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Edge Length of Disheptahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Disheptahedron = (2*Midsphere Radius of Disheptahedron)/sqrt(3)
l_e = (2*r_m)/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.
Midsphere Radius of Disheptahedron - (Measured in Meter) - Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Disheptahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (2*r_m)/sqrt(3) --> (2*9)/sqrt(3)

Evaluating ... ...

l_e = 10.3923048454133

STEP 3: Convert Result to Output's Unit

10.3923048454133 Meter --> No Conversion Required

FINAL ANSWER

10.3923048454133 ≈ 10.3923 Meter <-- Edge Length of Disheptahedron

(Calculation completed in 00.008 seconds)

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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 Midsphere Radius Formula

LaTeX Go

Edge Length of Disheptahedron = (2*Midsphere Radius of Disheptahedron)/sqrt(3)
l_e = (2*r_m)/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 as anticuboctahedron or twisted cuboctahedron or triangular orthobicupola. It has 14 faces which include 8 equilateral triangular faces and 6 square faces. It also has 24 edges and 12 vertices.

How to Calculate Edge Length of Disheptahedron given Midsphere Radius?

Edge Length of Disheptahedron given Midsphere Radius calculator uses Edge Length of Disheptahedron = (2*Midsphere Radius of Disheptahedron)/sqrt(3) to calculate the Edge Length of Disheptahedron, The Edge Length of Disheptahedron given Midsphere Radius formula is defined as the length of any edge of the Disheptahedron and is calculated using the midsphere radius of the Disheptahedron. Edge Length of Disheptahedron is denoted by l_e symbol.

How to calculate Edge Length of Disheptahedron given Midsphere Radius using this online calculator? To use this online calculator for Edge Length of Disheptahedron given Midsphere Radius, enter Midsphere Radius of Disheptahedron (r_m) and hit the calculate button. Here is how the Edge Length of Disheptahedron given Midsphere Radius calculation can be explained with given input values -> 10.3923 = (2*9)/sqrt(3).

FAQ

What is Edge Length of Disheptahedron given Midsphere Radius?

The Edge Length of Disheptahedron given Midsphere Radius formula is defined as the length of any edge of the Disheptahedron and is calculated using the midsphere radius of the Disheptahedron and is represented as l_e = (2*r_m)/sqrt(3) or Edge Length of Disheptahedron = (2*Midsphere Radius of Disheptahedron)/sqrt(3). Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.

How to calculate Edge Length of Disheptahedron given Midsphere Radius?

The Edge Length of Disheptahedron given Midsphere Radius formula is defined as the length of any edge of the Disheptahedron and is calculated using the midsphere radius of the Disheptahedron is calculated using Edge Length of Disheptahedron = (2*Midsphere Radius of Disheptahedron)/sqrt(3). To calculate Edge Length of Disheptahedron given Midsphere Radius, you need Midsphere Radius of Disheptahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius 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 Midsphere Radius of Disheptahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Disheptahedron = sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))
Edge Length of Disheptahedron = ((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)
Edge Length of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)

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