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

GoEdge Length of Great Stellated Dodecahedron given Ridge Length Formula

GoEdge Length of Great Stellated Dodecahedron given Pentagram Chord Formula

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

l e = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot AV}

l_e - Edge Length of Great Stellated Dodecahedron?AV - SA:V of Great Stellated Dodecahedron?

Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio Example

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

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

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

10.0763 = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7}

10.0763m = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7m⁻¹}

10.0763 = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7}

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Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Edge Length of Great Stellated 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 (3 + \sqrt{5}) \cdot AV}

Next Step Substitute values of Variables

∴

l e = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7m⁻¹}

Next Step Prepare to Evaluate

∴

l e = \frac{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}{\frac{5}{4} \cdot (3 + \sqrt{5}) \cdot 0.7}

Next Step Evaluate

∴

l e = 10.0763186107281m

LAST Step Rounding Answer

∴

l e = 10.0763m

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

Variables

Functions

Edge Length of Great Stellated Dodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Stellated Dodecahedron

SA:V of Great Stellated Dodecahedron

SA:V of Great Stellated Dodecahedron is the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Great Stellated 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 Stellated Dodecahedron

Go Edge Length of Great Stellated Dodecahedron given Ridge Length

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

Go Edge Length of Great Stellated Dodecahedron given Pentagram Chord

l e = \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Edge Length of Great Stellated Dodecahedron given Circumradius

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

Go Edge Length of Great Stellated Dodecahedron given Pyramidal Height

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

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

Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio evaluator uses Edge Length of Great Stellated Dodecahedron = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron) to evaluate the Edge Length of Great Stellated Dodecahedron, Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its surface to volume ratio. Edge Length of Great Stellated Dodecahedron is denoted by l_e symbol.

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

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

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

The formula of Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio is expressed as Edge Length of Great Stellated Dodecahedron = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron). Here is an example- 10.07632 = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*0.7).

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

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

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

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

Edge Length of Great Stellated Dodecahedron=(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Edge Length of Great Stellated Dodecahedron=Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
Edge Length of Great Stellated Dodecahedron=(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

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

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

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

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

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