Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Icosidodecahedron is the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron.ⓘ Surface to Volume Ratio of Icosidodecahedron [R_A/V]

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✖Pentagonal Face Area of Icosidodecahedron is the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron.ⓘ Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio [A_Pentagon]

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Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))))^2
A_Pentagon = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(R_A/V*(45+(17*sqrt(5)))))^2
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

Pentagonal Face Area of Icosidodecahedron - (Measured in Square Meter) - Pentagonal Face Area of Icosidodecahedron is the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron.
Surface to Volume Ratio of Icosidodecahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Icosidodecahedron is the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Icosidodecahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Pentagon = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(R_A/V*(45+(17*sqrt(5)))))^2 --> sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.2*(45+(17*sqrt(5)))))^2

Evaluating ... ...

A_Pentagon = 192.979073678553

STEP 3: Convert Result to Output's Unit

192.979073678553 Square Meter --> No Conversion Required

FINAL ANSWER

192.979073678553 ≈ 192.9791 Square Meter <-- Pentagonal Face Area of Icosidodecahedron

(Calculation completed in 00.014 seconds)

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Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Pentagonal Face Area of Icosidodecahedron Calculators

Pentagonal Face Area of Icosidodecahedron given Total Surface Area

LaTeX Go Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*Total Surface Area of Icosidodecahedron/(4*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))

Pentagonal Face Area of Icosidodecahedron given Midsphere Radius

LaTeX Go Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Midsphere Radius of Icosidodecahedron/(sqrt(5+(2*sqrt(5)))))^2

Pentagonal Face Area of Icosidodecahedron given Circumsphere Radius

LaTeX Go Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Circumsphere Radius of Icosidodecahedron/(1+sqrt(5)))^2

Pentagonal Face Area of Icosidodecahedron

LaTeX Go Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Edge Length of Icosidodecahedron^2)/4

Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio Formula

LaTeX Go

What is an Icosidodecahedron?

In geometry, an Icosidodecahedron is a closed and convex polyhedron with 20 (icosi) triangular faces and 12 (dodeca) pentagonal faces. An Icosidodecahedron has 30 identical vertices, with 2 triangles and 2 pentagons meeting at each. And 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.

How to Calculate Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio?

Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio calculator uses Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))))^2 to calculate the Pentagonal Face Area of Icosidodecahedron, Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron, and calculated using the surface to volume ratio of the Icosidodecahedron. Pentagonal Face Area of Icosidodecahedron is denoted by A_Pentagon symbol.

How to calculate Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Icosidodecahedron (R_A/V) and hit the calculate button. Here is how the Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 192.9791 = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.2*(45+(17*sqrt(5)))))^2.

FAQ

What is Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio?

Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron, and calculated using the surface to volume ratio of the Icosidodecahedron and is represented as A_Pentagon = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(R_A/V*(45+(17*sqrt(5)))))^2 or Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))))^2. Surface to Volume Ratio of Icosidodecahedron is the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron.

How to calculate Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio?

Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron, and calculated using the surface to volume ratio of the Icosidodecahedron is calculated using Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))))^2. To calculate Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Icosidodecahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Icosidodecahedron 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 Pentagonal Face Area of Icosidodecahedron?

In this formula, Pentagonal Face Area of Icosidodecahedron uses Surface to Volume Ratio of Icosidodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Edge Length of Icosidodecahedron^2)/4
Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Circumsphere Radius of Icosidodecahedron/(1+sqrt(5)))^2
Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Midsphere Radius of Icosidodecahedron/(sqrt(5+(2*sqrt(5)))))^2

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