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Volume of Small Stellated Dodecahedron given Total Surface Area Formula

GoVolume of Small Stellated Dodecahedron Formula

GoVolume of Small Stellated Dodecahedron given Ridge Length Formula

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

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{TSA}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})})}^{\frac{3}{2}})

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

Volume of Small Stellated Dodecahedron given Total Surface Area Example

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

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

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

17043.3313 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4600}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})})}^{\frac{3}{2}})

17043.3313m³ = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4600m²}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})})}^{\frac{3}{2}})

17043.3313 = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4600}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})})}^{\frac{3}{2}})

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Volume of Small Stellated Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \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 (7 + 3 \cdot \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 (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4600}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})})}^{\frac{3}{2}})

Next Step Evaluate

∴

V = 17043.3313089639m³

LAST Step Rounding Answer

∴

V = 17043.3313m³

Volume of Small Stellated Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

Volume of Small Stellated Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Small Stellated Dodecahedron

Total Surface Area of Small Stellated Dodecahedron

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Small 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 Small Stellated Dodecahedron

Go Volume of Small Stellated Dodecahedron

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(l e)}^{3})

Go Volume of Small Stellated Dodecahedron given Ridge Length

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{2 \cdot l Ridge}{1 + \sqrt{5}})}^{3})

Go Volume of Small Stellated Dodecahedron given Pentagram Chord

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{l c(Pentagram)}{2 + \sqrt{5}})}^{3})

Go Volume of Small Stellated Dodecahedron given Circumradius

V = ((\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})}^{3})

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

Volume of Small Stellated Dodecahedron given Total Surface Area evaluator uses Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5)))))^(3/2)) to evaluate the Volume of Small Stellated Dodecahedron, Volume of Small Stellated Dodecahedron given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its total surface area. Volume of Small Stellated Dodecahedron is denoted by V symbol.

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

FAQs on Volume of Small Stellated Dodecahedron given Total Surface Area

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

The formula of Volume of Small Stellated Dodecahedron given Total Surface Area is expressed as Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5)))))^(3/2)). Here is an example- 17043.33 = ((5/4)*(7+3*sqrt(5)))*((4600/(15*(sqrt(5+2*sqrt(5)))))^(3/2)).

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

With Total Surface Area of Small Stellated Dodecahedron (TSA) we can find Volume of Small Stellated Dodecahedron given Total Surface Area using the formula - Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Total Surface Area of Small 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 Small Stellated Dodecahedron?

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

Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*((Edge Length of Small Stellated Dodecahedron)^3)
Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*(((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))^3)
Volume of Small Stellated Dodecahedron=((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3)

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

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

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

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

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