Surface to Volume Ratio of Pentakis Dodecahedron Calculator

✖Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.ⓘ Base Length of Pentakis Dodecahedron [l_Base]

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✖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]

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Surface to Volume Ratio of Pentakis Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Base Length of Pentakis Dodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(l_Base*(23+(11*sqrt(5)))) --> ((76/19)*(sqrt(413+(162*sqrt(5)))))/(10*(23+(11*sqrt(5))))

Evaluating ... ...

R_A/V = 0.233992341221133

STEP 3: Convert Result to Output's Unit

0.233992341221133 1 per Meter --> No Conversion Required

FINAL ANSWER

0.233992341221133 ≈ 0.233992 1 per Meter <-- Surface to Volume Ratio of Pentakis Dodecahedron

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Pentakis Dodecahedron Calculators

Surface to Volume Ratio of Pentakis Dodecahedron given Total Surface Area

LaTeX Go Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(((15*(sqrt(413+(162*sqrt(5)))))/(19*Total Surface Area of Pentakis Dodecahedron))^(0.5))

Surface to Volume Ratio of Pentakis Dodecahedron given Volume

LaTeX Go Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(((15*(23+(11*sqrt(5))))/(76*Volume of Pentakis Dodecahedron))^(1/3))

Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius

LaTeX Go Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*((3+sqrt(5))/(4*Midsphere Radius of Pentakis Dodecahedron))

Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length

LaTeX Go Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(3*((9+sqrt(5)))/(38*Leg Length of Pentakis Dodecahedron))

Surface to Volume Ratio of Pentakis Dodecahedron Formula

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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 Surface to Volume Ratio of Pentakis Dodecahedron?

Surface to Volume Ratio of Pentakis Dodecahedron calculator uses Surface to Volume Ratio of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Base Length of Pentakis Dodecahedron*(23+(11*sqrt(5)))) to calculate the Surface to Volume Ratio of Pentakis Dodecahedron, Surface to Volume Ratio of Pentakis Dodecahedron formula is defined as what part of the total volume of the Pentakis Dodecahedron is the total surface area. Surface to Volume Ratio of Pentakis Dodecahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Pentakis Dodecahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Pentakis Dodecahedron, enter Base Length of Pentakis Dodecahedron (l_Base) and hit the calculate button. Here is how the Surface to Volume Ratio of Pentakis Dodecahedron calculation can be explained with given input values -> 0.233992 = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(10*(23+(11*sqrt(5)))).

FAQ

What is Surface to Volume Ratio of Pentakis Dodecahedron?

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

How to calculate Surface to Volume Ratio of Pentakis Dodecahedron?

Surface to Volume Ratio of Pentakis Dodecahedron formula is defined as what part of the total volume of the Pentakis Dodecahedron is the total surface area is calculated using Surface to Volume Ratio of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Base Length of Pentakis Dodecahedron*(23+(11*sqrt(5)))). To calculate Surface to Volume Ratio of Pentakis Dodecahedron, you need Base Length of Pentakis Dodecahedron (l_Base). With our tool, you need to enter the respective value for Base Length 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 Surface to Volume Ratio of Pentakis Dodecahedron?

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

Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(3*((9+sqrt(5)))/(38*Leg Length of Pentakis Dodecahedron))
Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(((15*(sqrt(413+(162*sqrt(5)))))/(19*Total Surface Area of Pentakis Dodecahedron))^(0.5))
Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(((15*(23+(11*sqrt(5))))/(76*Volume of Pentakis Dodecahedron))^(1/3))

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