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Volume of Hexakis Octahedron given Medium Edge 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{14 \cdot l e(Medium)}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{3})

V - Volume of Hexakis Octahedron?l_e(Medium) - Medium Edge of Hexakis Octahedron?

Volume of Hexakis Octahedron given Medium Edge Example

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Here is how the Volume of Hexakis Octahedron given Medium Edge equation looks like with Values.

Here is how the Volume of Hexakis Octahedron given Medium Edge equation looks like with Units.

Here is how the Volume of Hexakis Octahedron given Medium Edge equation looks like.

27871.962 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{14 \cdot 16}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{3})

27871.962m³ = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{14 \cdot 16m}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{3})

27871.962 = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{14 \cdot 16}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{3})

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Volume of Hexakis Octahedron given Medium Edge Solution

Follow our step by step solution on how to calculate Volume of Hexakis Octahedron given Medium Edge?

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{14 \cdot 16m}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}}{28}) \cdot ({(\frac{14 \cdot 16}{3 \cdot (1 + (2 \cdot \sqrt{2}))})}^{3})

Next Step Evaluate

∴

V = 27871.9619819936m³

LAST Step Rounding Answer

∴

V = 27871.962m³

Volume of Hexakis Octahedron given Medium Edge 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

Medium Edge of Hexakis Octahedron

Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.

Symbol: l_e(Medium)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Medium Edge 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 Total Surface Area

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}})

How to Evaluate Volume of Hexakis Octahedron given Medium Edge?

Volume of Hexakis Octahedron given Medium Edge evaluator uses Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3) to evaluate the Volume of Hexakis Octahedron, Volume of Hexakis Octahedron given Medium Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using medium edge of Hexakis Octahedron. Volume of Hexakis Octahedron is denoted by V symbol.

How to evaluate Volume of Hexakis Octahedron given Medium Edge using this online evaluator? To use this online evaluator for Volume of Hexakis Octahedron given Medium Edge, enter Medium Edge of Hexakis Octahedron (l_e(Medium)) and hit the calculate button.

FAQs on Volume of Hexakis Octahedron given Medium Edge

What is the formula to find Volume of Hexakis Octahedron given Medium Edge?

The formula of Volume of Hexakis Octahedron given Medium Edge is expressed as Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3). Here is an example- 27871.96 = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*16)/(3*(1+(2*sqrt(2)))))^3).

How to calculate Volume of Hexakis Octahedron given Medium Edge?

With Medium Edge of Hexakis Octahedron (l_e(Medium)) we can find Volume of Hexakis Octahedron given Medium Edge using the formula - Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3). 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 Medium Edge be negative?

No, the Volume of Hexakis Octahedron given Medium Edge, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hexakis Octahedron given Medium Edge?

Volume of Hexakis Octahedron given Medium Edge 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 Medium Edge can be measured.

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