Surface to Volume Ratio 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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✖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 given Midsphere Radius [R_A/V]

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Surface to Volume Ratio of Disheptahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Midsphere Radius of Disheptahedron)
R_A/V = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*r_m)
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

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.
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

R_A/V = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*r_m) --> (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*9)

Evaluating ... ...

R_A/V = 0.386370330515627

STEP 3: Convert Result to Output's Unit

0.386370330515627 1 per Meter --> No Conversion Required

FINAL ANSWER

0.386370330515627 ≈ 0.38637 1 per Meter <-- Surface to Volume Ratio of Disheptahedron

(Calculation completed in 00.007 seconds)

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< Surface to Volume Ratio of Disheptahedron Calculators

Surface to Volume Ratio of Disheptahedron given Volume

LaTeX Go Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3))

Surface to Volume Ratio of Disheptahedron given Total Surface Area

LaTeX Go Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(Total Surface Area of Disheptahedron/(3+sqrt(3))))

Surface to Volume Ratio of Disheptahedron given Circumsphere Radius

LaTeX Go Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Disheptahedron)

Surface to Volume Ratio of Disheptahedron

LaTeX Go Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Edge Length of Disheptahedron)

Surface to Volume Ratio of Disheptahedron given Midsphere Radius Formula

LaTeX Go

Surface to Volume Ratio of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Midsphere Radius of Disheptahedron)
R_A/V = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*r_m)

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 Surface to Volume Ratio of Disheptahedron given Midsphere Radius?

Surface to Volume Ratio of Disheptahedron given Midsphere Radius calculator uses Surface to Volume Ratio of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Midsphere Radius of Disheptahedron) to calculate the Surface to Volume Ratio of Disheptahedron, The Surface to Volume Ratio of Disheptahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron and is calculated using the midsphere radius of the Disheptahedron. Surface to Volume Ratio of Disheptahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Disheptahedron given Midsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Disheptahedron given Midsphere Radius, enter Midsphere Radius of Disheptahedron (r_m) and hit the calculate button. Here is how the Surface to Volume Ratio of Disheptahedron given Midsphere Radius calculation can be explained with given input values -> 0.38637 = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*9).

FAQ

What is Surface to Volume Ratio of Disheptahedron given Midsphere Radius?

The Surface to Volume Ratio of Disheptahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron and is calculated using the midsphere radius of the Disheptahedron and is represented as R_A/V = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*r_m) or Surface to Volume Ratio of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Midsphere Radius of Disheptahedron). 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 Surface to Volume Ratio of Disheptahedron given Midsphere Radius?

The Surface to Volume Ratio of Disheptahedron given Midsphere Radius formula is defined as the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron and is calculated using the midsphere radius of the Disheptahedron is calculated using Surface to Volume Ratio of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Midsphere Radius of Disheptahedron). To calculate Surface to Volume Ratio 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 Surface to Volume Ratio of Disheptahedron?

In this formula, Surface to Volume Ratio of Disheptahedron uses Midsphere Radius of Disheptahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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