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Surface to Volume Ratio of Pentakis Dodecahedron Formula

GoSurface to Volume Ratio of Pentakis Dodecahedron given Leg Length Formula

GoSurface to Volume Ratio of Pentakis Dodecahedron given Total Surface Area Formula

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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. Check FAQs

R A/V = \frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{l Base \cdot (23 + (11 \cdot \sqrt{5}))}

R_A/V - Surface to Volume Ratio of Pentakis Dodecahedron?l_Base - Base Length of Pentakis Dodecahedron?

Surface to Volume Ratio of Pentakis Dodecahedron Example

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Here is how the Surface to Volume Ratio of Pentakis Dodecahedron equation looks like with Values.

Here is how the Surface to Volume Ratio of Pentakis Dodecahedron equation looks like with Units.

Here is how the Surface to Volume Ratio of Pentakis Dodecahedron equation looks like.

0.234 = \frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{10 \cdot (23 + (11 \cdot \sqrt{5}))}

0.234m⁻¹ = \frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{10m \cdot (23 + (11 \cdot \sqrt{5}))}

0.234 = \frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{10 \cdot (23 + (11 \cdot \sqrt{5}))}

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Surface to Volume Ratio of Pentakis Dodecahedron Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Pentakis Dodecahedron?

FIRST Step Consider the formula

R A/V = \frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{l Base \cdot (23 + (11 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{10m \cdot (23 + (11 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{10 \cdot (23 + (11 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.233992341221133m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.234m⁻¹

Surface to Volume Ratio of Pentakis Dodecahedron Formula Elements

Variables

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Surface to Volume Ratio of Pentakis Dodecahedron

Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Pentakis Dodecahedron

Base Length of Pentakis Dodecahedron

Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Length of Pentakis Dodecahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Surface to Volume Ratio of Pentakis Dodecahedron

Go Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (3 \cdot \frac{(9 + \sqrt{5})}{38 \cdot l Leg})

Go Surface to Volume Ratio of Pentakis Dodecahedron given Total Surface Area

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot ({(\frac{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{19 \cdot TSA})}^{0.5})

Go Surface to Volume Ratio of Pentakis Dodecahedron given Volume

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot ({(\frac{15 \cdot (23 + (11 \cdot \sqrt{5}))}{76 \cdot V})}^{\frac{1}{3}})

Go Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 + \sqrt{5}}{4 \cdot r m})

How to Evaluate Surface to Volume Ratio of Pentakis Dodecahedron?

Surface to Volume Ratio of Pentakis Dodecahedron evaluator 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 evaluate 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 evaluate Surface to Volume Ratio of Pentakis Dodecahedron using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Pentakis Dodecahedron, enter Base Length of Pentakis Dodecahedron (l_Base) and hit the calculate button.

FAQs on Surface to Volume Ratio of Pentakis Dodecahedron

What is the formula to find Surface to Volume Ratio of Pentakis Dodecahedron?

The formula of Surface to Volume Ratio of Pentakis Dodecahedron is expressed as Surface to Volume Ratio of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Base Length of Pentakis Dodecahedron*(23+(11*sqrt(5)))). Here is an example- 0.233992 = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(10*(23+(11*sqrt(5)))).

How to calculate Surface to Volume Ratio of Pentakis Dodecahedron?

With Base Length of Pentakis Dodecahedron (l_Base) we can find Surface to Volume Ratio of Pentakis Dodecahedron using the formula - Surface to Volume Ratio of Pentakis Dodecahedron = ((76/19)*(sqrt(413+(162*sqrt(5)))))/(Base Length of Pentakis Dodecahedron*(23+(11*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Pentakis Dodecahedron?

Here are the different ways to Calculate Surface to Volume Ratio of Pentakis Dodecahedron-

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))

Can the Surface to Volume Ratio of Pentakis Dodecahedron be negative?

No, the Surface to Volume Ratio of Pentakis Dodecahedron, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Pentakis Dodecahedron?

Surface to Volume Ratio of Pentakis Dodecahedron is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Pentakis Dodecahedron can be measured.

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