Edge Length of Disheptahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.ⓘ Surface to Volume Ratio of Disheptahedron [R_A/V]

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✖Edge Length of Disheptahedron is the length of any edge of a Disheptahedron.ⓘ Edge Length of Disheptahedron given Surface to Volume Ratio [l_e]

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Edge Length of Disheptahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
l_e = (6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V)
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.
Surface to Volume Ratio of Disheptahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Disheptahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V) --> (6*(3+sqrt(3)))/(5*sqrt(2)*0.4)

Evaluating ... ...

l_e = 10.0381956448537

STEP 3: Convert Result to Output's Unit

10.0381956448537 Meter --> No Conversion Required

FINAL ANSWER

10.0381956448537 ≈ 10.0382 Meter <-- Edge Length of Disheptahedron

(Calculation completed in 00.004 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 Surface to Volume Ratio Formula

LaTeX Go

Edge Length of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
l_e = (6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V)

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 Surface to Volume Ratio?

Edge Length of Disheptahedron given Surface to Volume Ratio calculator uses Edge Length of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron) to calculate the Edge Length of Disheptahedron, The Edge Length of Disheptahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Disheptahedron and is calculated using the surface to volume ratio of the Disheptahedron. Edge Length of Disheptahedron is denoted by l_e symbol.

How to calculate Edge Length of Disheptahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Disheptahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Disheptahedron (R_A/V) and hit the calculate button. Here is how the Edge Length of Disheptahedron given Surface to Volume Ratio calculation can be explained with given input values -> 10.0382 = (6*(3+sqrt(3)))/(5*sqrt(2)*0.4).

FAQ

What is Edge Length of Disheptahedron given Surface to Volume Ratio?

The Edge Length of Disheptahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Disheptahedron and is calculated using the surface to volume ratio of the Disheptahedron and is represented as l_e = (6*(3+sqrt(3)))/(5*sqrt(2)*R_A/V) or Edge Length of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron). Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.

How to calculate Edge Length of Disheptahedron given Surface to Volume Ratio?

The Edge Length of Disheptahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Disheptahedron and is calculated using the surface to volume ratio of the Disheptahedron is calculated using Edge Length of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron). To calculate Edge Length of Disheptahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Disheptahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio 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 = (2*Midsphere Radius of Disheptahedron)/sqrt(3)

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