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Volume of Great Stellated Dodecahedron given Total Surface Area Formula

GoVolume of Great Stellated Dodecahedron Formula

GoVolume of Great Stellated Dodecahedron given Ridge Length Formula

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Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron. Check FAQs

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}}

V - Volume of Great Stellated Dodecahedron?TSA - Total Surface Area of Great Stellated Dodecahedron?

Volume of Great Stellated Dodecahedron given Total Surface Area Example

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

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

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

6509.9733 = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}}

6509.9733m³ = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{4600m²}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}}

6509.9733 = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}}

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Volume of Great Stellated Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{4600m²}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{4600}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 6509.97327849896m³

LAST Step Rounding Answer

∴

V = 6509.9733m³

Volume of Great Stellated Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Volume of Great Stellated Dodecahedron

Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Great Stellated Dodecahedron

Total Surface Area of Great Stellated Dodecahedron

Total Surface Area of Great Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Great Stellated Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great Stellated 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 Great Stellated Dodecahedron

Go Volume of Great Stellated Dodecahedron

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {l e}^{3}

Go Volume of Great Stellated Dodecahedron given Ridge Length

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{2 \cdot l Ridge}{1 + \sqrt{5}})}^{3}

Go Volume of Great Stellated Dodecahedron given Pentagram Chord

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

Go Volume of Great Stellated Dodecahedron given Circumradius

V = \frac{5}{4} \cdot (3 + \sqrt{5}) \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{3}

How to Evaluate Volume of Great Stellated Dodecahedron given Total Surface Area?

Volume of Great Stellated Dodecahedron given Total Surface Area evaluator uses Volume of Great Stellated Dodecahedron = 5/4*(3+sqrt(5))*(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))^(3/2) to evaluate the Volume of Great Stellated Dodecahedron, Volume of Great Stellated Dodecahedron given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron, calculated using its total surface area. Volume of Great Stellated Dodecahedron is denoted by V symbol.

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

FAQs on Volume of Great Stellated Dodecahedron given Total Surface Area

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

The formula of Volume of Great Stellated Dodecahedron given Total Surface Area is expressed as Volume of Great Stellated Dodecahedron = 5/4*(3+sqrt(5))*(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))^(3/2). Here is an example- 6509.973 = 5/4*(3+sqrt(5))*(4600/(15*sqrt(5+(2*sqrt(5)))))^(3/2).

How to calculate Volume of Great Stellated Dodecahedron given Total Surface Area?

With Total Surface Area of Great Stellated Dodecahedron (TSA) we can find Volume of Great Stellated Dodecahedron given Total Surface Area using the formula - Volume of Great Stellated Dodecahedron = 5/4*(3+sqrt(5))*(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))^(3/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Great Stellated Dodecahedron?

Here are the different ways to Calculate Volume of Great Stellated Dodecahedron-

Volume of Great Stellated Dodecahedron=5/4*(3+sqrt(5))*Edge Length of Great Stellated Dodecahedron^3
Volume of Great Stellated Dodecahedron=5/4*(3+sqrt(5))*((2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5)))^3
Volume of Great Stellated Dodecahedron=5/4*(3+sqrt(5))*(Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5)))^3

Can the Volume of Great Stellated Dodecahedron given Total Surface Area be negative?

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

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

Volume of Great Stellated 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 Great Stellated Dodecahedron given Total Surface Area can be measured.

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