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Volume of Hexakis Octahedron given Total Surface Area Formula

GoVolume of Hexakis Octahedron given Insphere Radius Formula

GoVolume of Hexakis Octahedron given Midsphere Radius Formula

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Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron. Check FAQs

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}})}^{\frac{3}{2}})

V - Volume of Hexakis Octahedron?TSA - Total Surface Area of Hexakis Octahedron?

Volume of Hexakis Octahedron given Total Surface Area Example

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

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

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

29831.2896 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}})}^{\frac{3}{2}})

29831.2896m³ = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}})}^{\frac{3}{2}})

29831.2896 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}})}^{\frac{3}{2}})

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Volume of Hexakis Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}})}^{\frac{3}{2}})

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}})}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}})}^{\frac{3}{2}})

Next Step Evaluate

∴

V = 29831.2895765456m³

LAST Step Rounding Answer

∴

V = 29831.2896m³

Volume of Hexakis Octahedron given Total Surface Area Formula Elements

Variables

Functions

Volume of Hexakis Octahedron

Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hexakis Octahedron

Total Surface Area of Hexakis Octahedron

Total Surface Area of Hexakis Octahedron is the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Hexakis Octahedron

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 Hexakis Octahedron

Go Volume of Hexakis Octahedron given Insphere Radius

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{2 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})}^{3})

Go Volume of Hexakis Octahedron given Midsphere Radius

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{4 \cdot r m}{1 + (2 \cdot \sqrt{2})})}^{3})

Go Volume of Hexakis Octahedron given Short Edge

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})}^{3})

Go Volume of Hexakis Octahedron given Medium Edge

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{14 \cdot l e(Medium)}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{3})

How to Evaluate Volume of Hexakis Octahedron given Total Surface Area?

Volume of Hexakis Octahedron given Total Surface Area evaluator uses Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))^(3/2)) to evaluate the Volume of Hexakis Octahedron, The Volume of Hexakis Octahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using total surface area of Hexakis Octahedron. Volume of Hexakis Octahedron is denoted by V symbol.

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

FAQs on Volume of Hexakis Octahedron given Total Surface Area

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

The formula of Volume of Hexakis Octahedron given Total Surface Area is expressed as Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))^(3/2)). Here is an example- 29831.29 = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((7*4800)/(3*sqrt(543+(176*sqrt(2)))))^(3/2)).

How to calculate Volume of Hexakis Octahedron given Total Surface Area?

With Total Surface Area of Hexakis Octahedron (TSA) we can find Volume of Hexakis Octahedron given Total Surface Area using the formula - Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))^(3/2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Hexakis Octahedron?

Here are the different ways to Calculate Volume of Hexakis Octahedron-

Volume of Hexakis Octahedron=((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3)
Volume of Hexakis Octahedron=((sqrt(6*(986+(607*sqrt(2)))))/28)*(((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))^3)
Volume of Hexakis Octahedron=((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3)

Can the Volume of Hexakis Octahedron given Total Surface Area be negative?

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

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

Volume of Hexakis Octahedron 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 Hexakis Octahedron given Total Surface Area can be measured.

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