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Volume of Truncated Rhombohedron given Surface to Volume Ratio Formula

GoVolume of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoVolume of Truncated Rhombohedron Formula

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

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

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

Volume of Truncated Rhombohedron given Surface to Volume Ratio Example

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

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

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

24896.702 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\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 0.2})}^{3})

24896.702m³ = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\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 0.2m⁻¹})}^{3})

24896.702 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\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 0.2})}^{3})

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

Volume of Truncated Rhombohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\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 0.2m⁻¹})}^{3})

Next Step Prepare to Evaluate

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\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 0.2})}^{3})

Next Step Evaluate

∴

V = 24896.7020473693m³

LAST Step Rounding Answer

∴

V = 24896.702m³

Volume of Truncated Rhombohedron given Surface to Volume Ratio Formula Elements

Variables

Functions

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

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

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 Volume of Truncated Rhombohedron

Go Volume of Truncated Rhombohedron given Rhombohedral Edge Length

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({l e(Rhombohedron)}^{3})

Go Volume of Truncated Rhombohedron

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot l e}{3 - \sqrt{5}})}^{3})

Go Volume of Truncated Rhombohedron given Triangular Edge Length

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{l e(Triangle)}{\sqrt{5 - (2 \cdot \sqrt{5})}})}^{3})

Go Volume of Truncated Rhombohedron given Circumsphere Radius

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{3})

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

Volume of Truncated Rhombohedron given Surface to Volume Ratio evaluator uses Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*((((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))*Surface to Volume Ratio of Truncated Rhombohedron))^3) to evaluate the Volume of Truncated Rhombohedron, Volume of Truncated Rhombohedron given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron, calculated using its surface to volume ratio. Volume of Truncated Rhombohedron is denoted by V symbol.

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

FAQs on Volume of Truncated Rhombohedron given Surface to Volume Ratio

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

The formula of Volume of Truncated Rhombohedron given Surface to Volume Ratio is expressed as Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*((((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))*Surface to Volume Ratio of Truncated Rhombohedron))^3). Here is an example- 24896.7 = ((5/3)*(sqrt(sqrt(5)-2)))*((((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))*0.2))^3).

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

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

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

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

Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*(Rhombohedral Edge Length of Truncated Rhombohedron^3)
Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^3)
Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3)

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

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

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

Volume of Truncated Rhombohedron given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Truncated Rhombohedron given Surface to Volume Ratio can be measured.

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