Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius Calculator

✖Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Deltoidal Icositetrahedron [r_i]

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✖SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.ⓘ Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius [AV]

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Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/Insphere Radius of Deltoidal Icositetrahedron
AV = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/r_i
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

SA:V of Deltoidal Icositetrahedron - (Measured in 1 per Meter) - SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.
Insphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Deltoidal Icositetrahedron: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/r_i --> (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/22

Evaluating ... ...

AV = 0.136363636363636

STEP 3: Convert Result to Output's Unit

0.136363636363636 1 per Meter --> No Conversion Required

FINAL ANSWER

0.136363636363636 ≈ 0.136364 1 per Meter <-- SA:V of Deltoidal Icositetrahedron

(Calculation completed in 00.044 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Surface to Volume Ratio of Deltoidal Icositetrahedron Calculators

Surface to Volume Ratio of Deltoidal Icositetrahedron given NonSymmetry Diagonal

LaTeX Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt(4+(2*sqrt(2))))/(2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)

Surface to Volume Ratio of Deltoidal Icositetrahedron given Symmetry Diagonal

LaTeX Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt(46+(15*sqrt(2))))/(7*Symmetry Diagonal of Deltoidal Icositetrahedron)

Surface to Volume Ratio of Deltoidal Icositetrahedron given Short Edge

LaTeX Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(4+sqrt(2))/(7*Short Edge of Deltoidal Icositetrahedron)

Surface to Volume Ratio of Deltoidal Icositetrahedron

LaTeX Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*1/Long Edge of Deltoidal Icositetrahedron

Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius Formula

LaTeX Go

What is Deltoidal Icositetrahedron?

A Deltoidal Icositetrahedron is a polyhedron with deltoid (kite) faces, those have three angles with 81.579° and one with 115.263°. It has eight vertices with three edges and eighteen vertices with four edges. In total, it has 24 faces, 48 edges, 26 vertices.

How to Calculate Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius?

Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius calculator uses SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/Insphere Radius of Deltoidal Icositetrahedron to calculate the SA:V of Deltoidal Icositetrahedron, Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius is defined as what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area, calculated using insphere radius of Deltoidal Icositetrahedron. SA:V of Deltoidal Icositetrahedron is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius, enter Insphere Radius of Deltoidal Icositetrahedron (r_i) and hit the calculate button. Here is how the Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius calculation can be explained with given input values -> 0.136364 = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/22.

FAQ

What is Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius?

Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius is defined as what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area, calculated using insphere radius of Deltoidal Icositetrahedron and is represented as AV = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/r_i or SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/Insphere Radius of Deltoidal Icositetrahedron. Insphere Radius of Deltoidal Icositetrahedron is the radius of the sphere that is contained by the Deltoidal Icositetrahedron in such a way that all the faces just touching the sphere.

How to calculate Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius?

Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius is defined as what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area, calculated using insphere radius of Deltoidal Icositetrahedron is calculated using SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/Insphere Radius of Deltoidal Icositetrahedron. To calculate Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius, you need Insphere Radius of Deltoidal Icositetrahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Deltoidal Icositetrahedron 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 SA:V of Deltoidal Icositetrahedron?

In this formula, SA:V of Deltoidal Icositetrahedron uses Insphere Radius of Deltoidal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*1/Long Edge of Deltoidal Icositetrahedron
SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(4+sqrt(2))/(7*Short Edge of Deltoidal Icositetrahedron)
SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt(46+(15*sqrt(2))))/(7*Symmetry Diagonal of Deltoidal Icositetrahedron)

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