Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio Calculator

✖SA:V of Pentagonal Hexecontahedron is what part of or fraction of total volume of Pentagonal Hexecontahedron is the total surface area.ⓘ SA:V of Pentagonal Hexecontahedron [AV]

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✖Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron.ⓘ Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio [l_{e(Snub Dodecahedron)}]

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Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Snub Dodecahedron Edge Pentagonal Hexecontahedron = (6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(SA:V of Pentagonal Hexecontahedron*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)))*sqrt(2+2*(0.4715756))
l_{e(Snub Dodecahedron)} = (6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(AV*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)))*sqrt(2+2*(0.4715756))
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

Snub Dodecahedron Edge Pentagonal Hexecontahedron - (Measured in Meter) - Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron.
SA:V of Pentagonal Hexecontahedron - (Measured in 1 per Meter) - SA:V of Pentagonal Hexecontahedron is what part of or fraction of total volume of Pentagonal Hexecontahedron is the total surface area.

STEP 1: Convert Input(s) to Base Unit

SA:V of Pentagonal Hexecontahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{e(Snub Dodecahedron)} = (6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(AV*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)))*sqrt(2+2*(0.4715756)) --> (6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(0.2*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)))*sqrt(2+2*(0.4715756))

Evaluating ... ...

l_{e(Snub Dodecahedron)} = 7.35340244072742

STEP 3: Convert Result to Output's Unit

7.35340244072742 Meter --> No Conversion Required

FINAL ANSWER

7.35340244072742 ≈ 7.353402 Meter <-- Snub Dodecahedron Edge Pentagonal Hexecontahedron

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » CatalanSolids » Pentagonal Hexecontahedron » Edges of Pentagonal Hexecontahedron » Snub Dodecahedron Edge of Pentagonal Hexecontahedron » Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio

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< Snub Dodecahedron Edge of Pentagonal Hexecontahedron Calculators

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Long Edge

LaTeX Go Snub Dodecahedron Edge Pentagonal Hexecontahedron = (31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756)))*sqrt(2+2*(0.4715756))

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area

LaTeX Go Snub Dodecahedron Edge Pentagonal Hexecontahedron = sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))*sqrt(2+2*(0.4715756))

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Volume

LaTeX Go Snub Dodecahedron Edge Pentagonal Hexecontahedron = ((Volume of Pentagonal Hexecontahedron*(1-2*0.4715756^2)*sqrt(1-2*0.4715756))/(5*(1+0.4715756)*(2+3*0.4715756)))^(1/3)*sqrt(2+2*(0.4715756))

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Midsphere Radius

LaTeX Go Snub Dodecahedron Edge Pentagonal Hexecontahedron = Midsphere Radius of Pentagonal Hexecontahedron/sqrt((1+0.4715756)/(2*(1-2*0.4715756)))*sqrt(2+2*(0.4715756))

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio Formula

LaTeX Go

What is Pentagonal Hexecontahedron?

In geometry, a Pentagonal Hexecontahedron is a Catalan solid, dual of the snub dodecahedron. It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. It has 60 faces, 150 edges, 92 vertices. It is the Catalan solid with the most vertices. Among the Catalan and Archimedean solids, it has the second largest number of vertices, after the truncated icosidodecahedron, which has 120 vertices.

How to Calculate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio?

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio calculator uses Snub Dodecahedron Edge Pentagonal Hexecontahedron = (6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(SA:V of Pentagonal Hexecontahedron*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)))*sqrt(2+2*(0.4715756)) to calculate the Snub Dodecahedron Edge Pentagonal Hexecontahedron, Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron, calculated using surface to volume ratio of Pentagonal Hexecontahedron. Snub Dodecahedron Edge Pentagonal Hexecontahedron is denoted by l_{e(Snub Dodecahedron)} symbol.

How to calculate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio, enter SA:V of Pentagonal Hexecontahedron (AV) and hit the calculate button. Here is how the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio calculation can be explained with given input values -> 7.353402 = (6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(0.2*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)))*sqrt(2+2*(0.4715756)).

FAQ

What is Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio?

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron, calculated using surface to volume ratio of Pentagonal Hexecontahedron and is represented as l_{e(Snub Dodecahedron)} = (6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(AV*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)))*sqrt(2+2*(0.4715756)) or Snub Dodecahedron Edge Pentagonal Hexecontahedron = (6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(SA:V of Pentagonal Hexecontahedron*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)))*sqrt(2+2*(0.4715756)). SA:V of Pentagonal Hexecontahedron is what part of or fraction of total volume of Pentagonal Hexecontahedron is the total surface area.

How to calculate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio?

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron, calculated using surface to volume ratio of Pentagonal Hexecontahedron is calculated using Snub Dodecahedron Edge Pentagonal Hexecontahedron = (6*(2+3*0.4715756)*sqrt(1-0.4715756^2)/(1-2*0.4715756^2))/(SA:V of Pentagonal Hexecontahedron*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)))*sqrt(2+2*(0.4715756)). To calculate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Surface to Volume Ratio, you need SA:V of Pentagonal Hexecontahedron (AV). With our tool, you need to enter the respective value for SA:V of Pentagonal 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 Snub Dodecahedron Edge Pentagonal Hexecontahedron?

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

Snub Dodecahedron Edge Pentagonal Hexecontahedron = (31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756)))*sqrt(2+2*(0.4715756))
Snub Dodecahedron Edge Pentagonal Hexecontahedron = sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))*sqrt(2+2*(0.4715756))
Snub Dodecahedron Edge Pentagonal Hexecontahedron = ((Volume of Pentagonal Hexecontahedron*(1-2*0.4715756^2)*sqrt(1-2*0.4715756))/(5*(1+0.4715756)*(2+3*0.4715756)))^(1/3)*sqrt(2+2*(0.4715756))

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