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Volume of Cuboctahedron given Lateral Surface Area Formula

GoVolume of Cuboctahedron Formula

GoVolume of Cuboctahedron given Circumsphere Radius Formula

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Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron. Check FAQs

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

V - Volume of Cuboctahedron?LSA - Lateral Surface Area of Cuboctahedron?

Volume of Cuboctahedron given Lateral Surface Area Example

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Here is how the Volume of Cuboctahedron given Lateral Surface Area equation looks like with Values.

Here is how the Volume of Cuboctahedron given Lateral Surface Area equation looks like with Units.

Here is how the Volume of Cuboctahedron given Lateral Surface Area equation looks like.

2374.0471 = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{750}{(2 \cdot \sqrt{3}) + 4})}^{\frac{3}{2}}

2374.0471m³ = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{750m}{(2 \cdot \sqrt{3}) + 4})}^{\frac{3}{2}}

2374.0471 = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{750}{(2 \cdot \sqrt{3}) + 4})}^{\frac{3}{2}}

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Volume of Cuboctahedron given Lateral Surface Area Solution

Follow our step by step solution on how to calculate Volume of Cuboctahedron given Lateral Surface Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{750m}{(2 \cdot \sqrt{3}) + 4})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{750}{(2 \cdot \sqrt{3}) + 4})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 2374.0470826907m³

LAST Step Rounding Answer

∴

V = 2374.0471m³

Volume of Cuboctahedron given Lateral Surface Area Formula Elements

Variables

Functions

Volume of Cuboctahedron

Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cuboctahedron

Lateral Surface Area of Cuboctahedron

Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.

Symbol: LSA

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cuboctahedron

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 Cuboctahedron

Go Volume of Cuboctahedron

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {l e}^{3}

Go Volume of Cuboctahedron given Circumsphere Radius

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {r c}^{3}

Go Volume of Cuboctahedron given Midsphere Radius

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

Go Volume of Cuboctahedron given Surface to Volume Ratio

V = 5 \cdot \frac{\sqrt{2}}{3} \cdot {(\frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V})}^{3}

How to Evaluate Volume of Cuboctahedron given Lateral Surface Area?

Volume of Cuboctahedron given Lateral Surface Area evaluator uses Volume of Cuboctahedron = 5*sqrt(2)/3*(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))^(3/2) to evaluate the Volume of Cuboctahedron, The Volume of Cuboctahedron given Lateral Surface Area formula is defined as the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron. Volume of Cuboctahedron is denoted by V symbol.

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

FAQs on Volume of Cuboctahedron given Lateral Surface Area

What is the formula to find Volume of Cuboctahedron given Lateral Surface Area?

The formula of Volume of Cuboctahedron given Lateral Surface Area is expressed as Volume of Cuboctahedron = 5*sqrt(2)/3*(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))^(3/2). Here is an example- 2374.047 = 5*sqrt(2)/3*(750/((2*sqrt(3))+4))^(3/2).

How to calculate Volume of Cuboctahedron given Lateral Surface Area?

With Lateral Surface Area of Cuboctahedron (LSA) we can find Volume of Cuboctahedron given Lateral Surface Area using the formula - Volume of Cuboctahedron = 5*sqrt(2)/3*(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))^(3/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Cuboctahedron?

Here are the different ways to Calculate Volume of Cuboctahedron-

Volume of Cuboctahedron=5*sqrt(2)/3*Edge Length of Cuboctahedron^3
Volume of Cuboctahedron=5*sqrt(2)/3*Circumsphere Radius of Cuboctahedron^3
Volume of Cuboctahedron=5*sqrt(2)/3*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^3

Can the Volume of Cuboctahedron given Lateral Surface Area be negative?

No, the Volume of Cuboctahedron given Lateral Surface Area, measured in Volume cannot be negative.

Which unit is used to measure Volume of Cuboctahedron given Lateral Surface Area?

Volume of Cuboctahedron given Lateral 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 Cuboctahedron given Lateral Surface Area can be measured.

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