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Surface to Volume Ratio of Dodecahedron given Volume Formula

GoSurface to Volume Ratio of Dodecahedron Formula

GoSurface to Volume Ratio of Dodecahedron given Total Surface Area Formula

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

R A/V = {(\frac{15 + (7 \cdot \sqrt{5})}{4 \cdot V})}^{\frac{1}{3}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

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

Surface to Volume Ratio of Dodecahedron given Volume Example

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

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

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

0.269 = {(\frac{15 + (7 \cdot \sqrt{5})}{4 \cdot 7700})}^{\frac{1}{3}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

0.269m⁻¹ = {(\frac{15 + (7 \cdot \sqrt{5})}{4 \cdot 7700m³})}^{\frac{1}{3}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

0.269 = {(\frac{15 + (7 \cdot \sqrt{5})}{4 \cdot 7700})}^{\frac{1}{3}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

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Surface to Volume Ratio of Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

R A/V = {(\frac{15 + (7 \cdot \sqrt{5})}{4 \cdot V})}^{\frac{1}{3}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

Next Step Substitute values of Variables

∴

R A/V = {(\frac{15 + (7 \cdot \sqrt{5})}{4 \cdot 7700m³})}^{\frac{1}{3}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

R A/V = {(\frac{15 + (7 \cdot \sqrt{5})}{4 \cdot 7700})}^{\frac{1}{3}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

Next Step Evaluate

∴

R A/V = 0.2689859514166m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.269m⁻¹

Surface to Volume Ratio of Dodecahedron given Volume Formula Elements

Variables

Functions

Surface to Volume Ratio of Dodecahedron

The Surface to Volume Ratio of Dodecahedron is the numerical ratio of the total surface area to the volume of the 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 Dodecahedron

Volume of Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of 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 Dodecahedron

Go Surface to Volume Ratio of Dodecahedron

R A/V = \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{l e \cdot (15 + (7 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Dodecahedron given Total Surface Area

R A/V = \sqrt{\frac{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{TSA}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

Go Surface to Volume Ratio of Dodecahedron given Face Area

R A/V = \sqrt{\frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{4 \cdot A Face}} \cdot \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

Go Surface to Volume Ratio of Dodecahedron given Circumsphere Radius

R A/V = \frac{\sqrt{3} \cdot (1 + \sqrt{5})}{r c} \cdot \frac{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{15 + (7 \cdot \sqrt{5})}

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

Surface to Volume Ratio of Dodecahedron given Volume evaluator uses Surface to Volume Ratio of Dodecahedron = ((15+(7*sqrt(5)))/(4*Volume of Dodecahedron))^(1/3)*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5))) to evaluate the Surface to Volume Ratio of Dodecahedron, The Surface to Volume Ratio of Dodecahedron given Volume formula is defined as the numerical ratio of the total surface area of a Dodecahedron to the volume of the Dodecahedron, and calculated using volume of Dodecahedron. Surface to Volume Ratio of Dodecahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Dodecahedron given Volume

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

The formula of Surface to Volume Ratio of Dodecahedron given Volume is expressed as Surface to Volume Ratio of Dodecahedron = ((15+(7*sqrt(5)))/(4*Volume of Dodecahedron))^(1/3)*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5))). Here is an example- 0.268986 = ((15+(7*sqrt(5)))/(4*7700))^(1/3)*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5))).

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

With Volume of Dodecahedron (V) we can find Surface to Volume Ratio of Dodecahedron given Volume using the formula - Surface to Volume Ratio of Dodecahedron = ((15+(7*sqrt(5)))/(4*Volume of Dodecahedron))^(1/3)*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Dodecahedron=(12*sqrt(25+(10*sqrt(5))))/(Edge Length of Dodecahedron*(15+(7*sqrt(5))))
Surface to Volume Ratio of Dodecahedron=sqrt((3*sqrt(25+(10*sqrt(5))))/Total Surface Area of Dodecahedron)*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5)))
Surface to Volume Ratio of Dodecahedron=sqrt(sqrt(25+(10*sqrt(5)))/(4*Face Area of Dodecahedron))*(12*sqrt(25+(10*sqrt(5))))/(15+(7*sqrt(5)))

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

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

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

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

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