FormulaDen.com

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

Volume of Rhombohedron Formula

GoVolume of Rhombohedron given Obtuse Angle Formula

GoVolume of Rhombohedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

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

V = {l e}^{3} \cdot (1 - \cos (∠ Acute)) \cdot \sqrt{1 + 2 \cdot \cos (∠ Acute)}

V - Volume of Rhombohedron?l_e - Edge Length of Rhombohedron?∠_Acute - Acute Angle of Rhombohedron?

Volume of Rhombohedron Example

With values

With units

Only example

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

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

Here is how the Volume of Rhombohedron equation looks like.

540.0379 = 10^{3} \cdot (1 - \cos (50)) \cdot \sqrt{1 + 2 \cdot \cos (50)}

540.0379m³ = {10m}^{3} \cdot (1 - \cos (50°)) \cdot \sqrt{1 + 2 \cdot \cos (50°)}

540.0379 = 10^{3} \cdot (1 - \cos (50)) \cdot \sqrt{1 + 2 \cdot \cos (50)}

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 Rhombohedron

Volume of Rhombohedron Solution

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

FIRST Step Consider the formula

V = {l e}^{3} \cdot (1 - \cos (∠ Acute)) \cdot \sqrt{1 + 2 \cdot \cos (∠ Acute)}

Next Step Substitute values of Variables

∴

V = {10m}^{3} \cdot (1 - \cos (50°)) \cdot \sqrt{1 + 2 \cdot \cos (50°)}

Next Step Convert Units

∴

V = {10m}^{3} \cdot (1 - \cos (0.8727rad)) \cdot \sqrt{1 + 2 \cdot \cos (0.8727rad)}

Next Step Prepare to Evaluate

∴

V = 10^{3} \cdot (1 - \cos (0.8727)) \cdot \sqrt{1 + 2 \cdot \cos (0.8727)}

Next Step Evaluate

∴

V = 540.037942313142m³

LAST Step Rounding Answer

∴

V = 540.0379m³

Volume of Rhombohedron Formula Elements

Variables

Functions

Volume of Rhombohedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombohedron

Edge Length of Rhombohedron

Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombohedron

Acute Angle of Rhombohedron

Acute Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Rhombohedron

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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 Rhombohedron

Go Volume of Rhombohedron given Obtuse Angle

V = {l e}^{3} \cdot (1 - \cos (π - ∠ Obtuse)) \cdot \sqrt{1 + 2 \cdot \cos (π - ∠ Obtuse)}

Go Volume of Rhombohedron given Total Surface Area

V = {(\sqrt{\frac{TSA}{6 \cdot \sin (∠ Acute)}})}^{3} \cdot (1 - \cos (∠ Acute)) \cdot \sqrt{1 + 2 \cdot \cos (∠ Acute)}

Go Volume of Rhombohedron given Surface to Volume Ratio

V = {(\frac{6 \cdot \sin (∠ Acute)}{R A/V \cdot (1 - \cos (∠ Acute)) \cdot \sqrt{1 + 2 \cdot \cos (∠ Acute)}})}^{3} \cdot (1 - \cos (∠ Acute)) \cdot \sqrt{1 + 2 \cdot \cos (∠ Acute)}

How to Evaluate Volume of Rhombohedron?

Volume of Rhombohedron evaluator uses Volume of Rhombohedron = Edge Length of Rhombohedron^3*(1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron)) to evaluate the Volume of Rhombohedron, Volume of Rhombohedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombohedron. Volume of Rhombohedron is denoted by V symbol.

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

FAQs on Volume of Rhombohedron

What is the formula to find Volume of Rhombohedron?

The formula of Volume of Rhombohedron is expressed as Volume of Rhombohedron = Edge Length of Rhombohedron^3*(1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron)). Here is an example- 540.0379 = 10^3*(1-cos(0.872664625997001))*sqrt(1+2*cos(0.872664625997001)).

How to calculate Volume of Rhombohedron?

With Edge Length of Rhombohedron (l_e) & Acute Angle of Rhombohedron (∠_Acute) we can find Volume of Rhombohedron using the formula - Volume of Rhombohedron = Edge Length of Rhombohedron^3*(1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Rhombohedron?

Here are the different ways to Calculate Volume of Rhombohedron-

Volume of Rhombohedron=Edge Length of Rhombohedron^3*(1-cos(pi-Obtuse Angle of Rhombohedron))*sqrt(1+2*cos(pi-Obtuse Angle of Rhombohedron))
Volume of Rhombohedron=(sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron))))^3*(1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))
Volume of Rhombohedron=((6*sin(Acute Angle of Rhombohedron))/(Surface to Volume Ratio of Rhombohedron*(1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))))^3*(1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))

Can the Volume of Rhombohedron be negative?

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

Which unit is used to measure Volume of Rhombohedron?

Volume of 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 Rhombohedron can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit