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 Area of Pentagon 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{4 \cdot A Pentagon}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}})

V - Volume of Truncated Rhombohedron?A_Pentagon - Area of Pentagon of Truncated Rhombohedron?

Volume of Truncated Rhombohedron given Area of Pentagon Example

With values

With units

Only example

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

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

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

14639.7998 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 530}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}})

14639.7998m³ = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 530m²}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}})

14639.7998 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 530}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}})

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 Area of Pentagon

Volume of Truncated Rhombohedron given Area of Pentagon Solution

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

FIRST Step Consider the formula

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot A Pentagon}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}})

Next Step Substitute values of Variables

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 530m²}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{4 \cdot 530}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}})

Next Step Evaluate

∴

V = 14639.7998229898m³

LAST Step Rounding Answer

∴

V = 14639.7998m³

Volume of Truncated Rhombohedron given Area of Pentagon 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

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 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 Area of Pentagon?

Volume of Truncated Rhombohedron given Area of Pentagon evaluator uses Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5)))))^(3/2)) to evaluate the Volume of Truncated Rhombohedron, Volume of Truncated Rhombohedron given Area of Pentagon formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron, calculated using its area of pentagon. Volume of Truncated Rhombohedron is denoted by V symbol.

How to evaluate Volume of Truncated Rhombohedron given Area of Pentagon using this online evaluator? To use this online evaluator for Volume of Truncated Rhombohedron given Area of Pentagon, enter Area of Pentagon of Truncated Rhombohedron (A_Pentagon) and hit the calculate button.

FAQs on Volume of Truncated Rhombohedron given Area of Pentagon

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

The formula of Volume of Truncated Rhombohedron given Area of Pentagon is expressed as Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5)))))^(3/2)). Here is an example- 14639.8 = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*530)/(sqrt(5+(2*sqrt(5)))))^(3/2)).

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

With Area of Pentagon of Truncated Rhombohedron (A_Pentagon) we can find Volume of Truncated Rhombohedron given Area of Pentagon using the formula - Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5)))))^(3/2)). 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 Area of Pentagon be negative?

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

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

Volume of Truncated Rhombohedron given Area of Pentagon 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 Area of Pentagon can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit