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Volume of Truncated Rhombohedron Formula

GoVolume of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoVolume of Truncated Rhombohedron given Triangular Edge Length 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{2 \cdot l e}{3 - \sqrt{5}})}^{3})

V - Volume of Truncated Rhombohedron?l_e - Edge Length of Truncated Rhombohedron?

Volume of Truncated Rhombohedron Example

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Here is how the Volume of Truncated Rhombohedron equation looks like with Values.

Here is how the Volume of Truncated Rhombohedron equation looks like with Units.

Here is how the Volume of Truncated Rhombohedron equation looks like.

14530.9206 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 10}{3 - \sqrt{5}})}^{3})

14530.9206m³ = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 10m}{3 - \sqrt{5}})}^{3})

14530.9206 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 10}{3 - \sqrt{5}})}^{3})

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Volume of Truncated Rhombohedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 10m}{3 - \sqrt{5}})}^{3})

Next Step Prepare to Evaluate

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 10}{3 - \sqrt{5}})}^{3})

Next Step Evaluate

∴

V = 14530.9206347377m³

LAST Step Rounding Answer

∴

V = 14530.9206m³

Volume of Truncated Rhombohedron 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

Edge Length of Truncated Rhombohedron

Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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})

Go Volume of Truncated Rhombohedron given Total Surface Area

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

How to Evaluate Volume of Truncated Rhombohedron?

Volume of Truncated Rhombohedron evaluator uses Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^3) to evaluate the Volume of Truncated Rhombohedron, Volume of Truncated Rhombohedron formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron. Volume of Truncated Rhombohedron is denoted by V symbol.

How to evaluate Volume of Truncated Rhombohedron using this online evaluator? To use this online evaluator for Volume of Truncated Rhombohedron, enter Edge Length of Truncated Rhombohedron (l_e) and hit the calculate button.

FAQs on Volume of Truncated Rhombohedron

What is the formula to find Volume of Truncated Rhombohedron?

The formula of Volume of Truncated Rhombohedron is expressed as Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^3). Here is an example- 14530.92 = ((5/3)*(sqrt(sqrt(5)-2)))*(((2*10)/(3-sqrt(5)))^3).

How to calculate Volume of Truncated Rhombohedron?

With Edge Length of Truncated Rhombohedron (l_e) we can find Volume of Truncated Rhombohedron using the formula - Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^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)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3)
Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^3)

Can the Volume of Truncated Rhombohedron be negative?

No, the Volume of Truncated Rhombohedron, measured in Volume cannot be negative.

Which unit is used to measure Volume of Truncated Rhombohedron?

Volume of Truncated Rhombohedron 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 can be measured.

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