Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal Calculator

✖Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.ⓘ Symmetry Diagonal of Deltoidal Hexecontahedron [d_Symmetry]

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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 Symmetry Diagonal [AV]

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Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal 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((5-sqrt(5))/20))/Symmetry Diagonal of Deltoidal Hexecontahedron
AV = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((5-sqrt(5))/20))/d_Symmetry
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.
Symmetry Diagonal of Deltoidal Hexecontahedron - (Measured in Meter) - Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.

STEP 1: Convert Input(s) to Base Unit

Symmetry Diagonal of Deltoidal Hexecontahedron: 11 Meter --> 11 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((5-sqrt(5))/20))/d_Symmetry --> (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((5-sqrt(5))/20))/11

Evaluating ... ...

AV = 0.177699866610281

STEP 3: Convert Result to Output's Unit

0.177699866610281 1 per Meter --> No Conversion Required

FINAL ANSWER

0.177699866610281 ≈ 0.1777 1 per Meter <-- SA:V of Deltoidal Hexecontahedron

(Calculation completed in 00.020 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 Symmetry Diagonal Formula

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What is Deltoidal Hexecontahedron?

IA 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 Symmetry Diagonal?

Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal calculator uses 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 to calculate the SA:V of Deltoidal Hexecontahedron, Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area, calculated using symmetry diagonal of Deltoidal Hexecontahedron. SA:V of Deltoidal Hexecontahedron is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal using this online calculator? To use this online calculator for Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal, enter Symmetry Diagonal of Deltoidal Hexecontahedron (d_Symmetry) and hit the calculate button. Here is how the Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal calculation can be explained with given input values -> 0.1777 = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((5-sqrt(5))/20))/11.

FAQ

What is Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal?

Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area, calculated using symmetry diagonal of Deltoidal Hexecontahedron and is represented as AV = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*sqrt((5-sqrt(5))/20))/d_Symmetry or 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. Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.

How to calculate Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal?

Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal formula is defined as what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area, calculated using symmetry diagonal 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((5-sqrt(5))/20))/Symmetry Diagonal of Deltoidal Hexecontahedron. To calculate Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal, you need Symmetry Diagonal of Deltoidal Hexecontahedron (d_Symmetry). With our tool, you need to enter the respective value for Symmetry Diagonal 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 Symmetry Diagonal 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))*(sqrt((470+(156*sqrt(5)))/5))/(11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)

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