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))/dSymmetry
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))/dSymmetry --> (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 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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8 Surface to Volume Ratio of Deltoidal Hexecontahedron Calculators

Surface to Volume Ratio of Deltoidal Hexecontahedron given Total Surface Area
Go SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*sqrt((9*sqrt(10*(157+(31*sqrt(5)))))/(11*Total Surface Area of Deltoidal Hexecontahedron))
Surface to Volume Ratio of Deltoidal Hexecontahedron given NonSymmetry Diagonal
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 Volume
Go SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*((45*sqrt((370+(164*sqrt(5)))/25))/(11*Volume of Deltoidal Hexecontahedron))^(1/3)
Surface to Volume Ratio of Deltoidal Hexecontahedron given Insphere Radius
Go 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)
Surface to Volume Ratio of Deltoidal Hexecontahedron given Symmetry Diagonal
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 Midsphere Radius
Go SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*(5+(3*sqrt(5))))/(20*Midsphere Radius of Deltoidal Hexecontahedron)
Surface to Volume Ratio of Deltoidal Hexecontahedron given Short Edge
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
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

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))/dSymmetry

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 (dSymmetry) 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))/dSymmetry 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 (dSymmetry). 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 7 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)
  • SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*sqrt((9*sqrt(10*(157+(31*sqrt(5)))))/(11*Total Surface Area of Deltoidal Hexecontahedron))
  • SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*((45*sqrt((370+(164*sqrt(5)))/25))/(11*Volume of Deltoidal Hexecontahedron))^(1/3)
  • SA:V of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(sqrt((370+(164*sqrt(5)))/25))*(3*(5+(3*sqrt(5))))/(20*Midsphere Radius of Deltoidal Hexecontahedron)
  • 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)
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