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Edge Length of Rhombicosidodecahedron given Surface to Volume Ratio Formula

GoEdge Length of Rhombicosidodecahedron given Total Surface Area Formula

GoEdge Length of Rhombicosidodecahedron given Volume Formula

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Edge Length of Rhombicosidodecahedron is the length of any edge of the Rhombicosidodecahedron. Check FAQs

l e = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))}

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

Edge Length of Rhombicosidodecahedron given Surface to Volume Ratio Example

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

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

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

14.251 = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))}

14.251m = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))}

14.251 = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))}

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Edge Length of Rhombicosidodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

l e = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

l e = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1m⁻¹ \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

l e = \frac{3 \cdot (30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.1 \cdot (60 + (29 \cdot \sqrt{5}))}

Next Step Evaluate

∴

l e = 14.2509963769293m

LAST Step Rounding Answer

∴

l e = 14.251m

Edge Length of Rhombicosidodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Edge Length of Rhombicosidodecahedron

Edge Length of Rhombicosidodecahedron is the length of any edge of the Rhombicosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombicosidodecahedron

Surface to Volume Ratio of Rhombicosidodecahedron

Surface to Volume Ratio of Rhombicosidodecahedron is the numerical ratio of the total surface area of a Rhombicosidodecahedron to the volume of the Rhombicosidodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Rhombicosidodecahedron

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 Rhombicosidodecahedron

Go Edge Length of Rhombicosidodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{30 + (5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Edge Length of Rhombicosidodecahedron given Volume

l e = {(\frac{3 \cdot V}{60 + (29 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Edge Length of Rhombicosidodecahedron given Circumsphere Radius

l e = \frac{2 \cdot r c}{\sqrt{11 + (4 \cdot \sqrt{5})}}

Go Edge Length of Rhombicosidodecahedron given Midsphere Radius

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

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

Edge Length of Rhombicosidodecahedron given Surface to Volume Ratio evaluator uses Edge Length of Rhombicosidodecahedron = (3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))) to evaluate the Edge Length of Rhombicosidodecahedron, Edge Length of Rhombicosidodecahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Rhombicosidodecahedron, and calculated using the surface to volume ratio of the Rhombicosidodecahedron. Edge Length of Rhombicosidodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Rhombicosidodecahedron given Surface to Volume Ratio

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

The formula of Edge Length of Rhombicosidodecahedron given Surface to Volume Ratio is expressed as Edge Length of Rhombicosidodecahedron = (3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))). Here is an example- 14.251 = (3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.1*(60+(29*sqrt(5)))).

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

With Surface to Volume Ratio of Rhombicosidodecahedron (R_A/V) we can find Edge Length of Rhombicosidodecahedron given Surface to Volume Ratio using the formula - Edge Length of Rhombicosidodecahedron = (3*(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Rhombicosidodecahedron*(60+(29*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Rhombicosidodecahedron=sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Edge Length of Rhombicosidodecahedron=((3*Volume of Rhombicosidodecahedron)/(60+(29*sqrt(5))))^(1/3)
Edge Length of Rhombicosidodecahedron=(2*Circumsphere Radius of Rhombicosidodecahedron)/(sqrt(11+(4*sqrt(5))))

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

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

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

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

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