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Volume of Rhombicuboctahedron given Midsphere Radius Formula

GoVolume of Rhombicuboctahedron Formula

GoVolume of Rhombicuboctahedron given Total Surface Area Formula

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

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot r m}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{3}

V - Volume of Rhombicuboctahedron?r_m - Midsphere Radius of Rhombicuboctahedron?

Volume of Rhombicuboctahedron given Midsphere Radius Example

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Here is how the Volume of Rhombicuboctahedron given Midsphere Radius equation looks like with Values.

Here is how the Volume of Rhombicuboctahedron given Midsphere Radius equation looks like with Units.

Here is how the Volume of Rhombicuboctahedron given Midsphere Radius equation looks like.

8583.3898 = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{3}

8583.3898m³ = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{3}

8583.3898 = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{3}

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Volume of Rhombicuboctahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Volume of Rhombicuboctahedron given Midsphere Radius?

FIRST Step Consider the formula

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot r m}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}})}^{3}

Next Step Evaluate

∴

V = 8583.38977319598m³

LAST Step Rounding Answer

∴

V = 8583.3898m³

Volume of Rhombicuboctahedron given Midsphere Radius Formula Elements

Variables

Functions

Volume of Rhombicuboctahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Rhombicuboctahedron

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 Rhombicuboctahedron

Go Volume of Rhombicuboctahedron

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {l e}^{3}

Go Volume of Rhombicuboctahedron given Total Surface Area

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}})}^{3}

Go Volume of Rhombicuboctahedron given Circumsphere Radius

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot r c}{\sqrt{5 + (2 \cdot \sqrt{2})}})}^{3}

Go Volume of Rhombicuboctahedron given Surface to Volume Ratio

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))})}^{3}

How to Evaluate Volume of Rhombicuboctahedron given Midsphere Radius?

Volume of Rhombicuboctahedron given Midsphere Radius evaluator uses Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3 to evaluate the Volume of Rhombicuboctahedron, Volume of Rhombicuboctahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the midsphere radius of the Rhombicuboctahedron. Volume of Rhombicuboctahedron is denoted by V symbol.

How to evaluate Volume of Rhombicuboctahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Volume of Rhombicuboctahedron given Midsphere Radius, enter Midsphere Radius of Rhombicuboctahedron (r_m) and hit the calculate button.

FAQs on Volume of Rhombicuboctahedron given Midsphere Radius

What is the formula to find Volume of Rhombicuboctahedron given Midsphere Radius?

The formula of Volume of Rhombicuboctahedron given Midsphere Radius is expressed as Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3. Here is an example- 8583.39 = 2/3*(6+(5*sqrt(2)))*((2*13)/(sqrt(4+(2*sqrt(2)))))^3.

How to calculate Volume of Rhombicuboctahedron given Midsphere Radius?

With Midsphere Radius of Rhombicuboctahedron (r_m) we can find Volume of Rhombicuboctahedron given Midsphere Radius using the formula - Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Rhombicuboctahedron?

Here are the different ways to Calculate Volume of Rhombicuboctahedron-

Volume of Rhombicuboctahedron=2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3
Volume of Rhombicuboctahedron=2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3
Volume of Rhombicuboctahedron=2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3

Can the Volume of Rhombicuboctahedron given Midsphere Radius be negative?

No, the Volume of Rhombicuboctahedron given Midsphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rhombicuboctahedron given Midsphere Radius?

Volume of Rhombicuboctahedron given Midsphere Radius 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 Rhombicuboctahedron given Midsphere Radius can be measured.

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