Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius Calculator

✖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.ⓘ Midsphere Radius of Deltoidal Icositetrahedron [r_m]

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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 Midsphere Radius [AV]

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Formula

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Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius

Formula

`"AV" = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(2*"r"_{"m"})`

Example

`"0.13384m⁻¹"=(6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(2*"24m")`

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Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere 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)))*(1+sqrt(2))/(2*Midsphere Radius of Deltoidal Icositetrahedron)
AV = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(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

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.
Midsphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Deltoidal Icositetrahedron: 24 Meter --> 24 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)))*(1+sqrt(2))/(2*r_m) --> (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(2*24)

Evaluating ... ...

AV = 0.133840308845953

STEP 3: Convert Result to Output's Unit

0.133840308845953 1 per Meter --> No Conversion Required

FINAL ANSWER

0.133840308845953 ≈ 0.13384 1 per Meter <-- SA:V of Deltoidal Icositetrahedron

(Calculation completed in 00.004 seconds)

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< 8 Surface to Volume Ratio of Deltoidal Icositetrahedron Calculators

Surface to Volume Ratio of Deltoidal Icositetrahedron given Total Surface Area

Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*sqrt((12*sqrt(61+(38*sqrt(2))))/(7*Total Surface Area of Deltoidal Icositetrahedron))

Surface to Volume Ratio of Deltoidal Icositetrahedron given NonSymmetry Diagonal

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 Volume

Go SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*Volume of Deltoidal Icositetrahedron))^(1/3)

Surface to Volume Ratio of Deltoidal Icositetrahedron given Symmetry Diagonal

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 Insphere Radius

Go 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

Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius

Go 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)

Surface to Volume Ratio of Deltoidal Icositetrahedron given Short Edge

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

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 Midsphere Radius Formula

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 Midsphere Radius?

Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius calculator 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 calculate 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 calculate Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Icositetrahedron (r_m) and hit the calculate button. Here is how the Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius calculation can be explained with given input values -> 0.13384 = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(2*24).

FAQ

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

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 and is represented as AV = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*(1+sqrt(2))/(2*r_m) or 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). 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.

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

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 is calculated using 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 calculate Surface to Volume Ratio of Deltoidal Icositetrahedron given Midsphere Radius, you need Midsphere Radius of Deltoidal Icositetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere Radius of Deltoidal Icositetrahedron. We can use 7 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)
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)
SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*sqrt((12*sqrt(61+(38*sqrt(2))))/(7*Total Surface Area of Deltoidal Icositetrahedron))
SA:V of Deltoidal Icositetrahedron = (6*sqrt(61+(38*sqrt(2))))/sqrt(292+(206*sqrt(2)))*((2*sqrt(292+(206*sqrt(2))))/(7*Volume of Deltoidal Icositetrahedron))^(1/3)
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

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