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Edge Length of Truncated Dodecahedron given Surface to Volume Ratio Formula

GoEdge Length of Truncated Dodecahedron given Dodecahedral Edge Length Formula

GoEdge Length of Truncated Dodecahedron given Total Surface Area Formula

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Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron. Check FAQs

l e = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{R A/V \cdot (99 + (47 \cdot \sqrt{5}))}

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

Edge Length of Truncated Dodecahedron given Surface to Volume Ratio Example

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

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

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

11.8757 = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1 \cdot (99 + (47 \cdot \sqrt{5}))}

11.8757m = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (99 + (47 \cdot \sqrt{5}))}

11.8757 = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1 \cdot (99 + (47 \cdot \sqrt{5}))}

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Edge Length of Truncated Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{R A/V \cdot (99 + (47 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

l e = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (99 + (47 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

l e = \frac{12 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}{0.1 \cdot (99 + (47 \cdot \sqrt{5}))}

Next Step Evaluate

∴

l e = 11.8757241901624m

LAST Step Rounding Answer

∴

l e = 11.8757m

Edge Length of Truncated Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Edge Length of Truncated Dodecahedron

Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated Dodecahedron

Surface to Volume Ratio of Truncated Dodecahedron

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

Go Edge Length of Truncated Dodecahedron given Dodecahedral Edge Length

l e = \frac{l e(Dodecahedron)}{\sqrt{5}}

Go Edge Length of Truncated Dodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{5 \cdot (\sqrt{3} + (6 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}))}}

Go Edge Length of Truncated Dodecahedron given Volume

l e = {(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Edge Length of Truncated Dodecahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{74 + (30 \cdot \sqrt{5})}}

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

Edge Length of Truncated Dodecahedron given Surface to Volume Ratio evaluator uses Edge Length of Truncated Dodecahedron = (12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Surface to Volume Ratio of Truncated Dodecahedron*(99+(47*sqrt(5)))) to evaluate the Edge Length of Truncated Dodecahedron, Edge Length of Truncated Dodecahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Truncated Dodecahedron, and calculated using the surface to volume ratio of the Truncated Dodecahedron. Edge Length of Truncated Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Truncated Dodecahedron given Surface to Volume Ratio

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

The formula of Edge Length of Truncated Dodecahedron given Surface to Volume Ratio is expressed as Edge Length of Truncated Dodecahedron = (12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Surface to Volume Ratio of Truncated Dodecahedron*(99+(47*sqrt(5)))). Here is an example- 11.87572 = (12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(0.1*(99+(47*sqrt(5)))).

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

With Surface to Volume Ratio of Truncated Dodecahedron (R_A/V) we can find Edge Length of Truncated Dodecahedron given Surface to Volume Ratio using the formula - Edge Length of Truncated Dodecahedron = (12*(sqrt(3)+(6*sqrt(5+(2*sqrt(5))))))/(Surface to Volume Ratio of Truncated Dodecahedron*(99+(47*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Truncated Dodecahedron=Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5)
Edge Length of Truncated Dodecahedron=sqrt(Total Surface Area of Truncated Dodecahedron/(5*(sqrt(3)+(6*sqrt(5+(2*sqrt(5)))))))
Edge Length of Truncated Dodecahedron=((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(1/3)

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

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

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

Edge Length of Truncated 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 Truncated Dodecahedron given Surface to Volume Ratio can be measured.

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