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Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio Formula

GoLeg Length of Pentakis Dodecahedron Formula

GoLeg Length of Pentakis Dodecahedron given Total Surface Area Formula

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Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron. Check FAQs

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{\frac{76}{19}}{R A/V}) \cdot (\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})

l_Leg - Leg Length of Pentakis Dodecahedron?R_A/V - Surface to Volume Ratio of Pentakis Dodecahedron?

Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio Example

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

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

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

10.3782 = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{\frac{76}{19}}{0.2}) \cdot (\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})

10.3782m = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{\frac{76}{19}}{0.2m⁻¹}) \cdot (\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})

10.3782 = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{\frac{76}{19}}{0.2}) \cdot (\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})

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Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{\frac{76}{19}}{R A/V}) \cdot (\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})

Next Step Substitute values of Variables

∴

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{\frac{76}{19}}{0.2m⁻¹}) \cdot (\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})

Next Step Prepare to Evaluate

∴

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{\frac{76}{19}}{0.2}) \cdot (\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})

Next Step Evaluate

∴

l Leg = 10.3782388901644m

LAST Step Rounding Answer

∴

l Leg = 10.3782m

Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Leg Length of Pentakis Dodecahedron

Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

Symbol: l_Leg

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Leg Length of Pentakis Dodecahedron

Surface to Volume Ratio of Pentakis Dodecahedron

Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Pentakis 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 Leg Length of Pentakis Dodecahedron

Go Leg Length of Pentakis Dodecahedron

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot l Base

Go Leg Length of Pentakis Dodecahedron given Total Surface Area

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\sqrt{\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

Go Leg Length of Pentakis Dodecahedron given Volume

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot ({(\frac{76 \cdot V}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Go Leg Length of Pentakis Dodecahedron given Midsphere Radius

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{4 \cdot r m}{3 + \sqrt{5}})

How to Evaluate Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio?

Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio evaluator uses Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))*(sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5)))) to evaluate the Leg Length of Pentakis Dodecahedron, Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio formula is defined as the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron, calculated using surface to volume ratio of Pentakis Dodecahedron. Leg Length of Pentakis Dodecahedron is denoted by l_Leg symbol.

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

FAQs on Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio

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

The formula of Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio is expressed as Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))*(sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5)))). Here is an example- 10.37824 = (3/38)*(9+sqrt(5))*((76/19)/(0.2))*(sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5)))).

How to calculate Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Pentakis Dodecahedron (R_A/V) we can find Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio using the formula - Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))*(sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Leg Length of Pentakis Dodecahedron?

Here are the different ways to Calculate Leg Length of Pentakis Dodecahedron-

Leg Length of Pentakis Dodecahedron=(3/38)*(9+sqrt(5))*Base Length of Pentakis Dodecahedron
Leg Length of Pentakis Dodecahedron=(3/38)*(9+sqrt(5))*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5)))))))
Leg Length of Pentakis Dodecahedron=(3/38)*(9+sqrt(5))*(((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))

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

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

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

Leg Length of Pentakis 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 Leg Length of Pentakis Dodecahedron given Surface to Volume Ratio can be measured.

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