Base Length of Pentakis Dodecahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.ⓘ Surface to Volume Ratio of Pentakis Dodecahedron [R_A/V]

+10%

-10%

✖Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.ⓘ Base Length of Pentakis Dodecahedron given Surface to Volume Ratio [l_Base]

⎘ Copy

👎

Formula

✖

Base Length of Pentakis Dodecahedron given Surface to Volume Ratio

Formula

`"l"_{"Base"} = ((76/19)*(sqrt(413+(162*sqrt(5)))))/("R"_{"A/V"}*(23+(11*sqrt(5))))`

Example

`"11.69962m"=((76/19)*(sqrt(413+(162*sqrt(5)))))/("0.2m⁻¹"*(23+(11*sqrt(5))))`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Base Length of Pentakis Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Length of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio of Pentakis Dodecahedron*(23+(11*sqrt(5))))
l_Base = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(R_A/V*(23+(11*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

Base Length of Pentakis Dodecahedron - (Measured in Meter) - Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.
Surface to Volume Ratio of Pentakis Dodecahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Base = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(R_A/V*(23+(11*sqrt(5)))) --> ((76/19)*(sqrt(413+(162*sqrt(5)))))/(0.2*(23+(11*sqrt(5))))

Evaluating ... ...

l_Base = 11.6996170610567

STEP 3: Convert Result to Output's Unit

11.6996170610567 Meter --> No Conversion Required

FINAL ANSWER

11.6996170610567 ≈ 11.69962 Meter <-- Base Length of Pentakis Dodecahedron

(Calculation completed in 00.008 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Pentakis Dodecahedron » Length of Pentakis Dodecahedron » Base Length of Pentakis Dodecahedron » Base Length of Pentakis Dodecahedron given Surface to Volume Ratio

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 6 Base Length of Pentakis Dodecahedron Calculators

Base Length of Pentakis Dodecahedron given Surface to Volume Ratio

Go Base Length of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio of Pentakis Dodecahedron*(23+(11*sqrt(5))))

Base Length of Pentakis Dodecahedron given Total Surface Area

Go Base Length of Pentakis Dodecahedron = sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))

Base Length of Pentakis Dodecahedron given Insphere Radius

Go Base Length of Pentakis Dodecahedron = (2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))

Base Length of Pentakis Dodecahedron given Volume

Go Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))

Base Length of Pentakis Dodecahedron given Midsphere Radius

Go Base Length of Pentakis Dodecahedron = (4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))

Base Length of Pentakis Dodecahedron given Leg Length

Go Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5)))

Base Length of Pentakis Dodecahedron given Surface to Volume Ratio Formula

What is Pentakis Dodecahedron?

A Pentakis Dodecahedron is a polyhedron with isosceles triangle faces. Five of these are attached as a pyramid on each face of a dodecahedron.
It has 60 faces, 90 edges, 32 vertices.

How to Calculate Base Length of Pentakis Dodecahedron given Surface to Volume Ratio?

Base Length of Pentakis Dodecahedron given Surface to Volume Ratio calculator uses Base Length of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio of Pentakis Dodecahedron*(23+(11*sqrt(5)))) to calculate the Base Length of Pentakis Dodecahedron, Base Length of Pentakis Dodecahedron given Surface to Volume Ratio formula is defined as the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using surface to volume ratio of Pentakis Dodecahedron. Base Length of Pentakis Dodecahedron is denoted by l_Base symbol.

How to calculate Base Length of Pentakis Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Base Length of Pentakis Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Pentakis Dodecahedron (R_A/V) and hit the calculate button. Here is how the Base Length of Pentakis Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 11.69962 = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(0.2*(23+(11*sqrt(5)))).

FAQ

What is Base Length of Pentakis Dodecahedron given Surface to Volume Ratio?

Base Length of Pentakis Dodecahedron given Surface to Volume Ratio formula is defined as the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using surface to volume ratio of Pentakis Dodecahedron and is represented as l_Base = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(R_A/V*(23+(11*sqrt(5)))) or Base Length of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio of Pentakis Dodecahedron*(23+(11*sqrt(5)))). Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.

How to calculate Base Length of Pentakis Dodecahedron given Surface to Volume Ratio?

Base Length of Pentakis Dodecahedron given Surface to Volume Ratio formula is defined as the length of the base of the isosceles triangular face of Pentakis Dodecahedron, calculated using surface to volume ratio of Pentakis Dodecahedron is calculated using Base Length of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Surface to Volume Ratio of Pentakis Dodecahedron*(23+(11*sqrt(5)))). To calculate Base Length of Pentakis Dodecahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Pentakis Dodecahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Pentakis Dodecahedron 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 Base Length of Pentakis Dodecahedron?

In this formula, Base Length of Pentakis Dodecahedron uses Surface to Volume Ratio of Pentakis Dodecahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -

Base Length of Pentakis Dodecahedron = (38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5)))
Base Length of Pentakis Dodecahedron = sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))
Base Length of Pentakis Dodecahedron = (((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))
Base Length of Pentakis Dodecahedron = (4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))
Base Length of Pentakis Dodecahedron = (2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))

Home

FREE PDFs

🔍 Search