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Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius Formula

GoSurface to Volume Ratio of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoSurface to Volume Ratio of Truncated Rhombohedron Formula

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Surface to Volume Ratio of Truncated Rhombohedron is the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron. Check FAQs

R A/V = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4 \cdot r c})

R_A/V - Surface to Volume Ratio of Truncated Rhombohedron?r_c - Circumsphere Radius of Truncated Rhombohedron?

Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius Example

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Here is how the Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius equation looks like with Values.

Here is how the Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius equation looks like with Units.

Here is how the Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius equation looks like.

0.2417 = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4 \cdot 20})

0.2417m⁻¹ = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4 \cdot 20m})

0.2417 = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4 \cdot 20})

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3D Geometry » fx Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius

Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius?

FIRST Step Consider the formula

R A/V = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4 \cdot r c})

Next Step Substitute values of Variables

∴

R A/V = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4 \cdot 20m})

Next Step Prepare to Evaluate

∴

R A/V = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4 \cdot 20})

Next Step Evaluate

∴

R A/V = 0.241747854612163m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2417m⁻¹

Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius Formula Elements

Variables

Functions

Surface to Volume Ratio of Truncated Rhombohedron

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

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 Rhombohedron

Circumsphere Radius of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron is the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated Rhombohedron

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 Surface to Volume Ratio of Truncated Rhombohedron

Go Surface to Volume Ratio of Truncated Rhombohedron given Rhombohedral Edge Length

R A/V = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{1}{l e(Rhombohedron)})

Go Surface to Volume Ratio of Truncated Rhombohedron

R A/V = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{3 - \sqrt{5}}{2 \cdot l e})

Go Surface to Volume Ratio of Truncated Rhombohedron given Triangular Edge Length

R A/V = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\frac{\sqrt{5 - (2 \cdot \sqrt{5})}}{l e(Triangle)})

Go Surface to Volume Ratio of Truncated Rhombohedron given Total Surface Area

R A/V = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})}) \cdot (\sqrt{\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot TSA}})

How to Evaluate Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius?

Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius evaluator uses Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(14-(2*sqrt(5))))/(4*Circumsphere Radius of Truncated Rhombohedron)) to evaluate the Surface to Volume Ratio of Truncated Rhombohedron, Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron, calculated using its circumsphere radius. Surface to Volume Ratio of Truncated Rhombohedron is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Rhombohedron (r_c) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius

What is the formula to find Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius?

The formula of Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius is expressed as Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(14-(2*sqrt(5))))/(4*Circumsphere Radius of Truncated Rhombohedron)). Here is an example- 0.241748 = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(14-(2*sqrt(5))))/(4*20)).

How to calculate Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius?

With Circumsphere Radius of Truncated Rhombohedron (r_c) we can find Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius using the formula - Surface to Volume Ratio of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(14-(2*sqrt(5))))/(4*Circumsphere Radius of Truncated Rhombohedron)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Truncated Rhombohedron?

Here are the different ways to Calculate Surface to Volume Ratio of Truncated Rhombohedron-

Surface to Volume Ratio of Truncated Rhombohedron=(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(1/Rhombohedral Edge Length of Truncated Rhombohedron)
Surface to Volume Ratio of Truncated Rhombohedron=(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((3-sqrt(5))/(2*Edge Length of Truncated Rhombohedron))
Surface to Volume Ratio of Truncated Rhombohedron=(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*((sqrt(5-(2*sqrt(5))))/Triangular Edge Length of Truncated Rhombohedron)

Can the Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius be negative?

No, the Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius?

Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Truncated Rhombohedron given Circumsphere Radius can be measured.

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