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Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius Formula

GoSurface to Volume Ratio of Deltoidal Icositetrahedron Formula

GoSurface to Volume Ratio of Deltoidal Icositetrahedron given Short Edge Formula

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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. Check FAQs

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}{r i}

AV - SA:V of Deltoidal Icositetrahedron?r_i - Insphere Radius of Deltoidal Icositetrahedron?

Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius Example

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Here is how the Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius equation looks like with Values.

Here is how the Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius equation looks like with Units.

Here is how the Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius equation looks like.

0.1364 = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}{22}

0.1364m⁻¹ = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}{22m}

0.1364 = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}{22}

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3D Geometry » fx Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius

Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius?

FIRST Step Consider the formula

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}{r i}

Next Step Substitute values of Variables

∴

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}{22m}

Next Step Prepare to Evaluate

∴

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{\sqrt{\frac{22 + (15 \cdot \sqrt{2})}{34}}}{22}

Next Step Evaluate

∴

AV = 0.136363636363636m⁻¹

LAST Step Rounding Answer

∴

AV = 0.1364m⁻¹

Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius Formula Elements

Variables

Functions

SA:V of Deltoidal Icositetrahedron

SA:V of Deltoidal Icositetrahedron is what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Deltoidal Icositetrahedron

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.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Deltoidal Icositetrahedron

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.

Syntax: sqrt(Number)

Other Formulas to find SA:V of Deltoidal Icositetrahedron

Go Surface to Volume Ratio of Deltoidal Icositetrahedron

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{1}{l e(Long)}

Go Surface to Volume Ratio of Deltoidal Icositetrahedron given Short Edge

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{4 + \sqrt{2}}{7 \cdot l e(Short)}

Go Surface to Volume Ratio of Deltoidal Icositetrahedron given Symmetry Diagonal

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{\sqrt{46 + (15 \cdot \sqrt{2})}}{7 \cdot d Symmetry}

Go Surface to Volume Ratio of Deltoidal Icositetrahedron given NonSymmetry Diagonal

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2 \cdot d Non Symmetry}

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

Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius evaluator 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 evaluate 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 evaluate Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius, enter Insphere Radius of Deltoidal Icositetrahedron (r_i) and hit the calculate button.

FAQs on Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius

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

The formula of Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius is expressed as 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. Here is an example- 0.136364 = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(sqrt((22+(15*sqrt(2)))/34))/22.

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

With Insphere Radius of Deltoidal Icositetrahedron (r_i) we can find Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius using the formula - 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. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Deltoidal Icositetrahedron?

Here are the different ways to Calculate SA:V of Deltoidal Icositetrahedron-

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)

Can the Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius be negative?

No, the Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius?

Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Deltoidal Icositetrahedron given Insphere Radius can be measured.

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