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Surface to Volume Ratio of Truncated Rhombohedron given Volume 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{5 \cdot (\sqrt{\sqrt{5} - 2})}{3 \cdot V})}^{\frac{1}{3}})

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

Surface to Volume Ratio of Truncated Rhombohedron given Volume Example

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

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

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

0.2395 = (\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{5 \cdot (\sqrt{\sqrt{5} - 2})}{3 \cdot 14500})}^{\frac{1}{3}})

0.2395m⁻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{5 \cdot (\sqrt{\sqrt{5} - 2})}{3 \cdot 14500m³})}^{\frac{1}{3}})

0.2395 = (\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{5 \cdot (\sqrt{\sqrt{5} - 2})}{3 \cdot 14500})}^{\frac{1}{3}})

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Surface to Volume Ratio of Truncated Rhombohedron given Volume Solution

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

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{5 \cdot (\sqrt{\sqrt{5} - 2})}{3 \cdot V})}^{\frac{1}{3}})

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{5 \cdot (\sqrt{\sqrt{5} - 2})}{3 \cdot 14500m³})}^{\frac{1}{3}})

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{5 \cdot (\sqrt{\sqrt{5} - 2})}{3 \cdot 14500})}^{\frac{1}{3}})

Next Step Evaluate

∴

R A/V = 0.239490304155844m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2395m⁻¹

Surface to Volume Ratio of Truncated Rhombohedron given Volume 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

Volume of Truncated Rhombohedron

Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume?

Surface to Volume Ratio of Truncated Rhombohedron given Volume 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))))*(((5*(sqrt(sqrt(5)-2)))/(3*Volume of Truncated Rhombohedron))^(1/3)) to evaluate the Surface to Volume Ratio of Truncated Rhombohedron, Surface to Volume Ratio of Truncated Rhombohedron given Volume 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 volume. 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 Volume using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Rhombohedron given Volume, enter Volume of Truncated Rhombohedron (V) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Rhombohedron given Volume

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

The formula of Surface to Volume Ratio of Truncated Rhombohedron given Volume 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))))*(((5*(sqrt(sqrt(5)-2)))/(3*Volume of Truncated Rhombohedron))^(1/3)). Here is an example- 0.23949 = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))))*(((5*(sqrt(sqrt(5)-2)))/(3*14500))^(1/3)).

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

With Volume of Truncated Rhombohedron (V) we can find Surface to Volume Ratio of Truncated Rhombohedron given Volume 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))))*(((5*(sqrt(sqrt(5)-2)))/(3*Volume of Truncated Rhombohedron))^(1/3)). 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 Volume be negative?

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

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

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

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