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Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon 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 (\sqrt{\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4 \cdot A Pentagon}})

R_A/V - Surface to Volume Ratio of Truncated Rhombohedron?A_Pentagon - Area of Pentagon of Truncated Rhombohedron?

Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon Example

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

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

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

0.2387 = (\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{\sqrt{5 + (2 \cdot \sqrt{5})}}{4 \cdot 530}})

0.2387m⁻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 (\sqrt{\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4 \cdot 530m²}})

0.2387 = (\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{\sqrt{5 + (2 \cdot \sqrt{5})}}{4 \cdot 530}})

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Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon Solution

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

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 (\sqrt{\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4 \cdot A Pentagon}})

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 (\sqrt{\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4 \cdot 530m²}})

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 (\sqrt{\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4 \cdot 530}})

Next Step Evaluate

∴

R A/V = 0.238725543162899m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2387m⁻¹

Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon 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

Area of Pentagon of Truncated Rhombohedron

Area of Pentagon of Truncated Rhombohedron is the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron.

Symbol: A_Pentagon

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagon 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 Circumsphere Radius

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})

How to Evaluate Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon?

Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon 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((sqrt(5+(2*sqrt(5))))/(4*Area of Pentagon of Truncated Rhombohedron))) to evaluate the Surface to Volume Ratio of Truncated Rhombohedron, Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon 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 area of pentagon. 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 Area of Pentagon using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon, enter Area of Pentagon of Truncated Rhombohedron (A_Pentagon) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon

What is the formula to find Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon?

The formula of Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon 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((sqrt(5+(2*sqrt(5))))/(4*Area of Pentagon of Truncated Rhombohedron))). Here is an example- 0.238726 = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(sqrt((sqrt(5+(2*sqrt(5))))/(4*530))).

How to calculate Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon?

With Area of Pentagon of Truncated Rhombohedron (A_Pentagon) we can find Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon 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((sqrt(5+(2*sqrt(5))))/(4*Area of Pentagon of Truncated Rhombohedron))). This formula also uses Square Root Function 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 Area of Pentagon be negative?

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

Which unit is used to measure Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon?

Surface to Volume Ratio of Truncated Rhombohedron given Area of Pentagon 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 Area of Pentagon can be measured.

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