Surface to Volume Ratio of Icosidodecahedron Calculator

✖Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.ⓘ Edge Length of Icosidodecahedron [l_e]

+10%

-10%

✖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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Archimedean Solids Formula PDF PDF Image

Surface to Volume Ratio of Icosidodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Edge Length of Icosidodecahedron*(45+(17*sqrt(5))))
R_A/V = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(l_e*(45+(17*sqrt(5))))
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

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.
Edge Length of Icosidodecahedron - (Measured in Meter) - Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Icosidodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(l_e*(45+(17*sqrt(5)))) --> (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(10*(45+(17*sqrt(5))))

Evaluating ... ...

R_A/V = 0.211816905117641

STEP 3: Convert Result to Output's Unit

0.211816905117641 1 per Meter --> No Conversion Required

FINAL ANSWER

0.211816905117641 ≈ 0.211817 1 per Meter <-- Surface to Volume Ratio of Icosidodecahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Archimedean Solids » Icosidodecahedron » Surface to Volume Ratio of Icosidodecahedron » Surface to Volume Ratio of Icosidodecahedron

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Surface to Volume Ratio of Icosidodecahedron Calculators

Surface to Volume Ratio of Icosidodecahedron given Total Surface Area

LaTeX Go Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))*(45+(17*sqrt(5))))

Surface to Volume Ratio of Icosidodecahedron given Volume

LaTeX Go Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)*(45+(17*sqrt(5))))

Surface to Volume Ratio of Icosidodecahedron given Circumsphere Radius

LaTeX Go Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))*(45+(17*sqrt(5))))

Surface to Volume Ratio of Icosidodecahedron

LaTeX Go Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Edge Length of Icosidodecahedron*(45+(17*sqrt(5))))

Surface to Volume Ratio of Icosidodecahedron 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 Surface to Volume Ratio of Icosidodecahedron?

Surface to Volume Ratio of Icosidodecahedron calculator uses Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Edge Length of Icosidodecahedron*(45+(17*sqrt(5)))) to calculate the Surface to Volume Ratio of Icosidodecahedron, Surface to Volume Ratio of Icosidodecahedron formula is defined as the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron. Surface to Volume Ratio of Icosidodecahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Icosidodecahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Icosidodecahedron, enter Edge Length of Icosidodecahedron (l_e) and hit the calculate button. Here is how the Surface to Volume Ratio of Icosidodecahedron calculation can be explained with given input values -> 0.211817 = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(10*(45+(17*sqrt(5)))).

FAQ

What is Surface to Volume Ratio of Icosidodecahedron?

Surface to Volume Ratio of Icosidodecahedron formula is defined as the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron and is represented as R_A/V = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(l_e*(45+(17*sqrt(5)))) or Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Edge Length of Icosidodecahedron*(45+(17*sqrt(5)))). Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

How to calculate Surface to Volume Ratio of Icosidodecahedron?

Surface to Volume Ratio of Icosidodecahedron formula is defined as the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron is calculated using Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Edge Length of Icosidodecahedron*(45+(17*sqrt(5)))). To calculate Surface to Volume Ratio of Icosidodecahedron, you need Edge Length of Icosidodecahedron (l_e). With our tool, you need to enter the respective value for Edge Length 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 Surface to Volume Ratio of Icosidodecahedron?

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

Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))))*(45+(17*sqrt(5))))
Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)*(45+(17*sqrt(5))))
Surface to Volume Ratio of Icosidodecahedron = (6*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/((2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5))*(45+(17*sqrt(5))))

Home

FREE PDFs

🔍 Search