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Edge Length of Dodecahedron given Surface to Volume Ratio Formula

GoEdge Length of Dodecahedron given Circumsphere Radius Formula

GoEdge Length of Dodecahedron given Total Surface Area Formula

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Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron. Check FAQs

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

l_e - Edge Length of Dodecahedron?R_A/V - Surface to Volume Ratio of Dodecahedron?

Edge Length of Dodecahedron given Surface to Volume Ratio Example

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

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

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

8.9806 = \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))}

8.9806m = \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))}

8.9806 = \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))}

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Edge Length of Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{0.3m⁻¹ \cdot (15 + (7 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

l e = \frac{12 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}{0.3 \cdot (15 + (7 \cdot \sqrt{5}))}

Next Step Evaluate

∴

l e = 8.98055953159171m

LAST Step Rounding Answer

∴

l e = 8.9806m

Edge Length of Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Edge Length of Dodecahedron

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Dodecahedron

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

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 Edge Length of Dodecahedron

Go Edge Length of Dodecahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

Go Edge Length of Dodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Edge Length of Dodecahedron given Volume

l e = {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Dodecahedron given Face Area

l e = \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

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

Edge Length of Dodecahedron given Surface to Volume Ratio evaluator uses Edge Length of Dodecahedron = (12*sqrt(25+(10*sqrt(5))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))) to evaluate the Edge Length of Dodecahedron, The Edge Length of Dodecahedron given Surface to Volume Ratio formula is defined as the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron, and calculated using surface to volume ratio of Dodecahedron. Edge Length of Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Dodecahedron given Surface to Volume Ratio

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

The formula of Edge Length of Dodecahedron given Surface to Volume Ratio is expressed as Edge Length of Dodecahedron = (12*sqrt(25+(10*sqrt(5))))/(Surface to Volume Ratio of Dodecahedron*(15+(7*sqrt(5)))). Here is an example- 8.98056 = (12*sqrt(25+(10*sqrt(5))))/(0.3*(15+(7*sqrt(5)))).

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

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

What are the other ways to Calculate Edge Length of Dodecahedron?

Here are the different ways to Calculate Edge Length of Dodecahedron-

Edge Length of Dodecahedron=(4*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Edge Length of Dodecahedron=sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))
Edge Length of Dodecahedron=((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)

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

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

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

Edge Length of Dodecahedron given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Dodecahedron given Surface to Volume Ratio can be measured.

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