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Volume of Pentakis Dodecahedron given Total Surface Area Formula

GoVolume of Pentakis Dodecahedron Formula

GoVolume of Pentakis Dodecahedron given Leg Length 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{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})})}^{\frac{3}{2}})

V - Volume of Pentakis Dodecahedron?TSA - Total Surface Area of Pentakis Dodecahedron?

Volume of Pentakis Dodecahedron given Total Surface Area Example

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

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

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

9405.9807 = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{19 \cdot 2200}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})})}^{\frac{3}{2}})

9405.9807m³ = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{19 \cdot 2200m²}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})})}^{\frac{3}{2}})

9405.9807 = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{19 \cdot 2200}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})})}^{\frac{3}{2}})

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Volume of Pentakis Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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}})

Next Step Substitute values of Variables

∴

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{19 \cdot 2200m²}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})})}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{19 \cdot 2200}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})})}^{\frac{3}{2}})

Next Step Evaluate

∴

V = 9405.98072152113m³

LAST Step Rounding Answer

∴

V = 9405.9807m³

Volume of Pentakis Dodecahedron given Total Surface Area 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

Total Surface Area of Pentakis Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Leg Length

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

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 Total Surface Area?

Volume of Pentakis Dodecahedron given Total Surface Area evaluator uses 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)) to evaluate the Volume of Pentakis Dodecahedron, Volume of Pentakis Dodecahedron given Total Surface Area formula is defined as quantity of three dimensional space covered by closed surface of Pentakis Dodecahedron, calculated using total surface area of Pentakis Dodecahedron. Volume of Pentakis Dodecahedron is denoted by V symbol.

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

FAQs on Volume of Pentakis Dodecahedron given Total Surface Area

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

The formula of Volume of Pentakis Dodecahedron given Total Surface Area is expressed as 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)). Here is an example- 9405.981 = (15/76)*(23+(11*sqrt(5)))*(((19*2200)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2)).

How to calculate Volume of Pentakis Dodecahedron given Total Surface Area?

With Total Surface Area of Pentakis Dodecahedron (TSA) we can find Volume of Pentakis Dodecahedron given Total Surface Area using the formula - 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)). 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)))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^3)
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 Total Surface Area be negative?

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

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

Volume of Pentakis Dodecahedron 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 Pentakis Dodecahedron given Total Surface Area can be measured.

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