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Volume of Rhombicuboctahedron given Total Surface Area Formula

GoVolume of Rhombicuboctahedron Formula

GoVolume of Rhombicuboctahedron given Circumsphere Radius 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 {(\sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}})}^{3}

V - Volume of Rhombicuboctahedron?TSA - Total Surface Area of Rhombicuboctahedron?

Volume of Rhombicuboctahedron given Total Surface Area Example

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Here is how the Volume of Rhombicuboctahedron given Total Surface Area equation looks like with Values.

Here is how the Volume of Rhombicuboctahedron given Total Surface Area equation looks like with Units.

Here is how the Volume of Rhombicuboctahedron given Total Surface Area equation looks like.

8432.9529 = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\sqrt{\frac{2100}{2 \cdot (9 + \sqrt{3})}})}^{3}

8432.9529m³ = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\sqrt{\frac{2100m²}{2 \cdot (9 + \sqrt{3})}})}^{3}

8432.9529 = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\sqrt{\frac{2100}{2 \cdot (9 + \sqrt{3})}})}^{3}

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Volume of Rhombicuboctahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Volume of Rhombicuboctahedron given Total Surface Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\sqrt{\frac{2100m²}{2 \cdot (9 + \sqrt{3})}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\sqrt{\frac{2100}{2 \cdot (9 + \sqrt{3})}})}^{3}

Next Step Evaluate

∴

V = 8432.95294947723m³

LAST Step Rounding Answer

∴

V = 8432.9529m³

Volume of Rhombicuboctahedron given Total Surface Area 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

Total Surface Area of Rhombicuboctahedron

Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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 Midsphere Radius

V = \frac{2}{3} \cdot (6 + (5 \cdot \sqrt{2})) \cdot {(\frac{2 \cdot r m}{\sqrt{4 + (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 Total Surface Area?

Volume of Rhombicuboctahedron given Total Surface Area evaluator uses Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3 to evaluate the Volume of Rhombicuboctahedron, Volume of Rhombicuboctahedron given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the total surface area of the Rhombicuboctahedron. Volume of Rhombicuboctahedron is denoted by V symbol.

How to evaluate Volume of Rhombicuboctahedron given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Rhombicuboctahedron given Total Surface Area, enter Total Surface Area of Rhombicuboctahedron (TSA) and hit the calculate button.

FAQs on Volume of Rhombicuboctahedron given Total Surface Area

What is the formula to find Volume of Rhombicuboctahedron given Total Surface Area?

The formula of Volume of Rhombicuboctahedron given Total Surface Area is expressed as Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3. Here is an example- 8432.953 = 2/3*(6+(5*sqrt(2)))*(sqrt((2100)/(2*(9+sqrt(3)))))^3.

How to calculate Volume of Rhombicuboctahedron given Total Surface Area?

With Total Surface Area of Rhombicuboctahedron (TSA) we can find Volume of Rhombicuboctahedron given Total Surface Area using the formula - Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^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)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3
Volume of Rhombicuboctahedron=2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3

Can the Volume of Rhombicuboctahedron given Total Surface Area be negative?

No, the Volume of Rhombicuboctahedron given Total Surface Area, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rhombicuboctahedron given Total Surface Area?

Volume of Rhombicuboctahedron given Total Surface Area 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 Total Surface Area can be measured.

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