Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius Calculator

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

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

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Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*Insphere Radius of Deltoidal Hexecontahedron)
AV = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*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 Hexecontahedron - (Measured in 1 per Meter) - SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.
Insphere Radius of Deltoidal Hexecontahedron - (Measured in Meter) - Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Deltoidal Hexecontahedron: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*r_i) --> (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*17)

Evaluating ... ...

AV = 0.176470588235294

STEP 3: Convert Result to Output's Unit

0.176470588235294 1 per Meter --> No Conversion Required

FINAL ANSWER

0.176470588235294 ≈ 0.176471 1 per Meter <-- SA:V of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Deltoidal Hexecontahedron Calculators

Surface to Volume Ratio of Deltoidal Hexecontahedron given NonSymmetry Diagonal

LaTeX Go SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(sqrt((470+(156*sqrt(5)))/5))/(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)

Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal

LaTeX Go SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((5-sqrt(5))/20))/Symmetry Diagonal of Deltoidal Hexecontahedron

Surface to Volume Ratio of Deltoidal Hexecontahedron given Short Edge

LaTeX Go SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*(7-sqrt(5)))/(22*Short Edge of Deltoidal Hexecontahedron)

Surface to Volume Ratio of Deltoidal Hexecontahedron

LaTeX Go SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*1/Long Edge of Deltoidal Hexecontahedron

Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius Formula

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What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

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

Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius calculator uses SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*Insphere Radius of Deltoidal Hexecontahedron) to calculate the SA:V of Deltoidal Hexecontahedron, Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius formula is defined as what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area, calculated using insphere radius of Deltoidal Hexecontahedron. SA:V of Deltoidal Hexecontahedron is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius, enter Insphere Radius of Deltoidal Hexecontahedron (r_i) and hit the calculate button. Here is how the Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius calculation can be explained with given input values -> 0.176471 = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*17).

FAQ

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

Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius formula is defined as what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area, calculated using insphere radius of Deltoidal Hexecontahedron and is represented as AV = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*r_i) or SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*Insphere Radius of Deltoidal Hexecontahedron). Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.

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

Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius formula is defined as what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area, calculated using insphere radius of Deltoidal Hexecontahedron is calculated using SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((135+(59*sqrt(5)))/205))/(2*Insphere Radius of Deltoidal Hexecontahedron). To calculate Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius, you need Insphere Radius of Deltoidal Hexecontahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius of Deltoidal Hexecontahedron 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 Hexecontahedron?

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

SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*1/Long Edge of Deltoidal Hexecontahedron
SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*(7-sqrt(5)))/(22*Short Edge of Deltoidal Hexecontahedron)
SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((5-sqrt(5))/20))/Symmetry Diagonal of Deltoidal Hexecontahedron

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