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Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere 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{1 + \sqrt{2}}{2 \cdot r m}

AV - SA:V of Deltoidal Icositetrahedron?r_m - Midsphere Radius of Deltoidal Icositetrahedron?

Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius Example

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

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

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

0.1338 = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{1 + \sqrt{2}}{2 \cdot 24}

0.1338m⁻¹ = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{1 + \sqrt{2}}{2 \cdot 24m}

0.1338 = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{1 + \sqrt{2}}{2 \cdot 24}

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Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{1 + \sqrt{2}}{2 \cdot r m}

Next Step Substitute values of Variables

∴

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{1 + \sqrt{2}}{2 \cdot 24m}

Next Step Prepare to Evaluate

∴

AV = \frac{6 \cdot \sqrt{61 + (38 \cdot \sqrt{2})}}{\sqrt{292 + (206 \cdot \sqrt{2})}} \cdot \frac{1 + \sqrt{2}}{2 \cdot 24}

Next Step Evaluate

∴

AV = 0.133840308845953m⁻¹

LAST Step Rounding Answer

∴

AV = 0.1338m⁻¹

Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere 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

Midsphere Radius of Deltoidal Icositetrahedron

Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Midsphere Radius?

Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius evaluator uses SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(2*Midsphere Radius of Deltoidal Icositetrahedron) to evaluate the SA:V of Deltoidal Icositetrahedron, Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius is defined as what part of or fraction of total volume of Deltoidal Icositetrahedron is the total surface area, calculated using midsphere 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 Midsphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Icositetrahedron (r_m) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius is expressed as SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(2*Midsphere Radius of Deltoidal Icositetrahedron). Here is an example- 0.13384 = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(2*24).

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

With Midsphere Radius of Deltoidal Icositetrahedron (r_m) we can find Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius using the formula - SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(2*Midsphere 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 Midsphere Radius be negative?

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

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

Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere 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 Midsphere Radius can be measured.

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