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Edge Length of Great Dodecahedron given Surface to Volume Ratio Formula

GoEdge Length of Great Dodecahedron given Ridge Length Formula

GoEdge Length of Great Dodecahedron given Circumsphere Radius Formula

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Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron. Check FAQs

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

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

Edge Length of Great Dodecahedron given Surface to Volume Ratio Example

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

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

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

10.0763 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7}

10.0763m = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7m⁻¹}

10.0763 = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7}

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Edge Length of Great Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7m⁻¹}

Next Step Prepare to Evaluate

∴

l e = \frac{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (\sqrt{5} - 1) \cdot 0.7}

Next Step Evaluate

∴

l e = 10.0763186107281m

LAST Step Rounding Answer

∴

l e = 10.0763m

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

Variables

Functions

Edge Length of Great Dodecahedron

Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Dodecahedron

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

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 Great Dodecahedron

Go Edge Length of Great Dodecahedron given Ridge Length

l e = \frac{2 \cdot l Ridge}{\sqrt{5} - 1}

Go Edge Length of Great Dodecahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Edge Length of Great Dodecahedron given Pyramidal Height

l e = \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 - \sqrt{5})}

Go Edge Length of Great Dodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

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

Edge Length of Great Dodecahedron given Surface to Volume Ratio evaluator uses Edge Length of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Surface to Volume Ratio of Great Dodecahedron) to evaluate the Edge Length of Great Dodecahedron, Edge Length of Great Dodecahedron given Surface to Volume Ratio formula is defined as the distance between any pair of adjacent peak vertices of the Great Dodecahedron, calculated using its surface to volume ratio. Edge Length of Great Dodecahedron is denoted by l_e symbol.

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

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

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

The formula of Edge Length of Great Dodecahedron given Surface to Volume Ratio is expressed as Edge Length of Great Dodecahedron = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*Surface to Volume Ratio of Great Dodecahedron). Here is an example- 10.07632 = (15*sqrt(5-(2*sqrt(5))))/(5/4*(sqrt(5)-1)*0.7).

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

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

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

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

Edge Length of Great Dodecahedron=(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1)
Edge Length of Great Dodecahedron=(4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5)))
Edge Length of Great Dodecahedron=(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))

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

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

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

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

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