FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Volume of Truncated Rhombohedron given Triangular Edge Length Formula

GoVolume of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoVolume of Truncated Rhombohedron Formula

Fx Copy

LaTeX Copy

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

V - Volume of Truncated Rhombohedron?l_e(Triangle) - Triangular Edge Length of Truncated Rhombohedron?

Volume of Truncated Rhombohedron given Triangular Edge Length Example

With values

With units

Only example

Here is how the Volume of Truncated Rhombohedron given Triangular Edge Length equation looks like with Values.

Here is how the Volume of Truncated Rhombohedron given Triangular Edge Length equation looks like with Units.

Here is how the Volume of Truncated Rhombohedron given Triangular Edge Length equation looks like.

14482.5478 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{19}{\sqrt{5 - (2 \cdot \sqrt{5})}})}^{3})

14482.5478m³ = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{19m}{\sqrt{5 - (2 \cdot \sqrt{5})}})}^{3})

14482.5478 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{19}{\sqrt{5 - (2 \cdot \sqrt{5})}})}^{3})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Volume of Truncated Rhombohedron given Triangular Edge Length

Volume of Truncated Rhombohedron given Triangular Edge Length Solution

Follow our step by step solution on how to calculate Volume of Truncated Rhombohedron given Triangular Edge Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{19m}{\sqrt{5 - (2 \cdot \sqrt{5})}})}^{3})

Next Step Prepare to Evaluate

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{19}{\sqrt{5 - (2 \cdot \sqrt{5})}})}^{3})

Next Step Evaluate

∴

V = 14482.5477799864m³

LAST Step Rounding Answer

∴

V = 14482.5478m³

Volume of Truncated Rhombohedron given Triangular Edge Length 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

Triangular Edge Length of Truncated Rhombohedron

Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.

Symbol: l_e(Triangle)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Triangular 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

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 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 given Triangular Edge Length?

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

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

FAQs on Volume of Truncated Rhombohedron given Triangular Edge Length

What is the formula to find Volume of Truncated Rhombohedron given Triangular Edge Length?

The formula of Volume of Truncated Rhombohedron given Triangular Edge Length is expressed as Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3). Here is an example- 14482.55 = ((5/3)*(sqrt(sqrt(5)-2)))*((19/(sqrt(5-(2*sqrt(5)))))^3).

How to calculate Volume of Truncated Rhombohedron given Triangular Edge Length?

With Triangular Edge Length of Truncated Rhombohedron (l_e(Triangle)) we can find Volume of Truncated Rhombohedron given Triangular Edge Length using the formula - Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*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)))*(((2*Edge Length of Truncated Rhombohedron)/(3-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 given Triangular Edge Length be negative?

No, the Volume of Truncated Rhombohedron given Triangular Edge Length, measured in Volume cannot be negative.

Which unit is used to measure Volume of Truncated Rhombohedron given Triangular Edge Length?

Volume of Truncated Rhombohedron given Triangular Edge Length 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 Triangular Edge Length can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit