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Volume of Pentakis Dodecahedron given Leg Length Formula

GoVolume of Pentakis Dodecahedron Formula

GoVolume of Pentakis Dodecahedron given Total Surface Area Formula

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Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron. Check FAQs

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{38 \cdot l Leg}{3 \cdot (9 + \sqrt{5})})}^{3})

V - Volume of Pentakis Dodecahedron?l_Leg - Leg Length of Pentakis Dodecahedron?

Volume of Pentakis Dodecahedron given Leg Length Example

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Here is how the Volume of Pentakis Dodecahedron given Leg Length equation looks like with Values.

Here is how the Volume of Pentakis Dodecahedron given Leg Length equation looks like with Units.

Here is how the Volume of Pentakis Dodecahedron given Leg Length equation looks like.

9811.2971 = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{38 \cdot 9}{3 \cdot (9 + \sqrt{5})})}^{3})

9811.2971m³ = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{38 \cdot 9m}{3 \cdot (9 + \sqrt{5})})}^{3})

9811.2971 = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{38 \cdot 9}{3 \cdot (9 + \sqrt{5})})}^{3})

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Volume of Pentakis Dodecahedron given Leg Length Solution

Follow our step by step solution on how to calculate Volume of Pentakis Dodecahedron given Leg Length?

FIRST Step Consider the formula

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{38 \cdot l Leg}{3 \cdot (9 + \sqrt{5})})}^{3})

Next Step Substitute values of Variables

∴

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{38 \cdot 9m}{3 \cdot (9 + \sqrt{5})})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{38 \cdot 9}{3 \cdot (9 + \sqrt{5})})}^{3})

Next Step Evaluate

∴

V = 9811.29706804634m³

LAST Step Rounding Answer

∴

V = 9811.2971m³

Volume of Pentakis Dodecahedron given Leg Length Formula Elements

Variables

Functions

Volume of Pentakis Dodecahedron

Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentakis Dodecahedron

Leg Length of Pentakis Dodecahedron

Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

Symbol: l_Leg

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Leg Length of Pentakis Dodecahedron

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 Pentakis Dodecahedron

Go Volume of Pentakis Dodecahedron

V = (\frac{15}{76}) \cdot ({l Base}^{3}) \cdot (23 + (11 \cdot \sqrt{5}))

Go Volume of Pentakis Dodecahedron given Total Surface Area

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})})}^{\frac{3}{2}})

Go Volume of Pentakis Dodecahedron given Midsphere Radius

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r m}{3 + \sqrt{5}})}^{3})

Go Volume of Pentakis Dodecahedron given Insphere Radius

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{2 \cdot r i}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})}^{3})

How to Evaluate Volume of Pentakis Dodecahedron given Leg Length?

Volume of Pentakis Dodecahedron given Leg Length evaluator uses Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^3) to evaluate the Volume of Pentakis Dodecahedron, Volume of Pentakis Dodecahedron given Leg Length formula is defined as quantity of three dimensional space covered by closed surface of Pentakis Dodecahedron, calculated using leg length of Pentakis Dodecahedron. Volume of Pentakis Dodecahedron is denoted by V symbol.

How to evaluate Volume of Pentakis Dodecahedron given Leg Length using this online evaluator? To use this online evaluator for Volume of Pentakis Dodecahedron given Leg Length, enter Leg Length of Pentakis Dodecahedron (l_Leg) and hit the calculate button.

FAQs on Volume of Pentakis Dodecahedron given Leg Length

What is the formula to find Volume of Pentakis Dodecahedron given Leg Length?

The formula of Volume of Pentakis Dodecahedron given Leg Length is expressed as Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^3). Here is an example- 9811.297 = (15/76)*(23+(11*sqrt(5)))*(((38*9)/(3*(9+sqrt(5))))^3).

How to calculate Volume of Pentakis Dodecahedron given Leg Length?

With Leg Length of Pentakis Dodecahedron (l_Leg) we can find Volume of Pentakis Dodecahedron given Leg Length using the formula - Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Pentakis Dodecahedron?

Here are the different ways to Calculate Volume of Pentakis Dodecahedron-

Volume of Pentakis Dodecahedron=(15/76)*(Base Length of Pentakis Dodecahedron^3)*(23+(11*sqrt(5)))
Volume of Pentakis Dodecahedron=(15/76)*(23+(11*sqrt(5)))*(((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2))
Volume of Pentakis Dodecahedron=(15/76)*(23+(11*sqrt(5)))*(((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5)))^3)

Can the Volume of Pentakis Dodecahedron given Leg Length be negative?

No, the Volume of Pentakis Dodecahedron given Leg Length, measured in Volume cannot be negative.

Which unit is used to measure Volume of Pentakis Dodecahedron given Leg Length?

Volume of Pentakis Dodecahedron given Leg Length 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 Pentakis Dodecahedron given Leg Length can be measured.

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