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Surface to Volume Ratio of Great Dodecahedron given Volume Formula

GoSurface to Volume Ratio of Great Dodecahedron Formula

GoSurface to Volume Ratio of Great Dodecahedron given Ridge Length Formula

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Surface to Volume Ratio of Great Dodecahedron is the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron. Check FAQs

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot {(\frac{5 \cdot (\sqrt{5} - 1)}{4 \cdot V})}^{\frac{1}{3}}

R_A/V - Surface to Volume Ratio of Great Dodecahedron?V - Volume of Great Dodecahedron?

Surface to Volume Ratio of Great Dodecahedron given Volume Example

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

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

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

0.7046 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot {(\frac{5 \cdot (\sqrt{5} - 1)}{4 \cdot 1550})}^{\frac{1}{3}}

0.7046m⁻¹ = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot {(\frac{5 \cdot (\sqrt{5} - 1)}{4 \cdot 1550m³})}^{\frac{1}{3}}

0.7046 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot {(\frac{5 \cdot (\sqrt{5} - 1)}{4 \cdot 1550})}^{\frac{1}{3}}

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Surface to Volume Ratio of Great Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot {(\frac{5 \cdot (\sqrt{5} - 1)}{4 \cdot V})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot {(\frac{5 \cdot (\sqrt{5} - 1)}{4 \cdot 1550m³})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot {(\frac{5 \cdot (\sqrt{5} - 1)}{4 \cdot 1550})}^{\frac{1}{3}}

Next Step Evaluate

∴

R A/V = 0.704595969827903m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7046m⁻¹

Surface to Volume Ratio of Great Dodecahedron given Volume Formula Elements

Variables

Functions

Surface to Volume Ratio of Great Dodecahedron

Surface to Volume Ratio of Great Dodecahedron is the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Great Dodecahedron

Volume of Great Dodecahedron

Volume of Great Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Great 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 Great Dodecahedron

Go Surface to Volume Ratio of Great Dodecahedron

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot l e}

Go Surface to Volume Ratio of Great Dodecahedron given Ridge Length

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4}} \cdot \frac{1}{2 \cdot l Ridge}

Go Surface to Volume Ratio of Great Dodecahedron given Circumsphere Radius

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4 \cdot r c}

Go Surface to Volume Ratio of Great Dodecahedron given Pyramidal Height

R A/V = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1)} \cdot \frac{\sqrt{3} \cdot (3 - \sqrt{5})}{6 \cdot h Pyramid}

How to Evaluate Surface to Volume Ratio of Great Dodecahedron given Volume?

Surface to Volume Ratio of Great Dodecahedron given Volume evaluator uses Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*((5*(sqrt(5)-1))/(4*Volume of Great Dodecahedron))^(1/3) to evaluate the Surface to Volume Ratio of Great Dodecahedron, Surface to Volume Ratio of Great Dodecahedron given Volume formula is defined as the numerical ratio of the total surface area of a Great Dodecahedron to the volume of the Great Dodecahedron, calculated using its volume. Surface to Volume Ratio of Great Dodecahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Great Dodecahedron given Volume

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

The formula of Surface to Volume Ratio of Great Dodecahedron given Volume is expressed as Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*((5*(sqrt(5)-1))/(4*Volume of Great Dodecahedron))^(1/3). Here is an example- 0.704596 = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*((5*(sqrt(5)-1))/(4*1550))^(1/3).

How to calculate Surface to Volume Ratio of Great Dodecahedron given Volume?

With Volume of Great Dodecahedron (V) we can find Surface to Volume Ratio of Great Dodecahedron given Volume using the formula - Surface to Volume Ratio of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*((5*(sqrt(5)-1))/(4*Volume of Great Dodecahedron))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Edge Length of Great Dodecahedron)
Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4)*1/(2*Ridge Length of Great Dodecahedron)
Surface to Volume Ratio of Great Dodecahedron=(15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1))*sqrt(10+(2*sqrt(5)))/(4*Circumsphere Radius of Great Dodecahedron)

Can the Surface to Volume Ratio of Great Dodecahedron given Volume be negative?

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

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

Surface to Volume Ratio of Great Dodecahedron given Volume 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 Great Dodecahedron given Volume can be measured.

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