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Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length Formula

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

GoSurface to Volume Ratio of Pentakis Dodecahedron given Volume 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})})}{23 + (11 \cdot \sqrt{5})}) \cdot (3 \cdot \frac{(9 + \sqrt{5})}{38 \cdot l Leg})

R_A/V - Surface to Volume Ratio of Pentakis Dodecahedron?l_Leg - Leg Length of Pentakis Dodecahedron?

Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length Example

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

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

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

0.2306 = (\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 9})

0.2306m⁻¹ = (\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 9m})

0.2306 = (\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 9})

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Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length Solution

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

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

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 9m})

Next Step Prepare to Evaluate

∴

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 9})

Next Step Evaluate

∴

R A/V = 0.230627530892542m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2306m⁻¹

Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length Formula Elements

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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

Leg Length of Pentakis Dodecahedron

Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

Symbol: l_Leg

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Leg 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 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})

Go Surface to Volume Ratio of Pentakis Dodecahedron given Insphere Radius

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})}{2 \cdot r i})

How to Evaluate Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length?

Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length evaluator uses 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)) to evaluate the Surface to Volume Ratio of Pentakis Dodecahedron, Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length formula is defined as what part of total volume of Pentakis Dodechedron is the total surface area, calculated using leg length of Pentakis Dodecahedron. Surface to Volume Ratio of Pentakis Dodecahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length

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

The formula of Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length is expressed as 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)). Here is an example- 0.230628 = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(3*((9+sqrt(5)))/(38*9)).

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

With Leg Length of Pentakis Dodecahedron (l_Leg) we can find Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length using the formula - 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)). 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))))*(((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))
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))

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

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

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

Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length 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 given Leg Length can be measured.

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