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Pyramidal Height of Small Stellated Dodecahedron given Volume Formula

GoPyramidal Height of Small Stellated Dodecahedron Formula

GoPyramidal Height of Small Stellated Dodecahedron given Ridge Length Formula

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Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron. Check FAQs

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot ({(\frac{4 \cdot V}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

h_Pyramid - Pyramidal Height of Small Stellated Dodecahedron?V - Volume of Small Stellated Dodecahedron?

Pyramidal Height of Small Stellated Dodecahedron given Volume Example

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Here is how the Pyramidal Height of Small Stellated Dodecahedron given Volume equation looks like with Values.

Here is how the Pyramidal Height of Small Stellated Dodecahedron given Volume equation looks like with Units.

Here is how the Pyramidal Height of Small Stellated Dodecahedron given Volume equation looks like.

13.7275 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot ({(\frac{4 \cdot 17000}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

13.7275m = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot ({(\frac{4 \cdot 17000m³}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

13.7275 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot ({(\frac{4 \cdot 17000}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

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Pyramidal Height of Small Stellated Dodecahedron given Volume Solution

Follow our step by step solution on how to calculate Pyramidal Height of Small Stellated Dodecahedron given Volume?

FIRST Step Consider the formula

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot ({(\frac{4 \cdot V}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot ({(\frac{4 \cdot 17000m³}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot ({(\frac{4 \cdot 17000}{5 \cdot (7 + 3 \cdot \sqrt{5})})}^{\frac{1}{3}})

Next Step Evaluate

∴

h Pyramid = 13.7275091921922m

LAST Step Rounding Answer

∴

h Pyramid = 13.7275m

Pyramidal Height of Small Stellated Dodecahedron given Volume Formula Elements

Variables

Functions

Pyramidal Height of Small Stellated Dodecahedron

Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron.

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Small Stellated Dodecahedron

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

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 Pyramidal Height of Small Stellated Dodecahedron

Go Pyramidal Height of Small Stellated Dodecahedron

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot l e

Go Pyramidal Height of Small Stellated Dodecahedron given Ridge Length

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{2 \cdot l Ridge}{1 + \sqrt{5}})

Go Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{l c(Pentagram)}{2 + \sqrt{5}})

Go Pyramidal Height of Small Stellated Dodecahedron given Circumradius

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})

How to Evaluate Pyramidal Height of Small Stellated Dodecahedron given Volume?

Pyramidal Height of Small Stellated Dodecahedron given Volume evaluator uses Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3)) to evaluate the Pyramidal Height of Small Stellated Dodecahedron, Pyramidal Height of Small Stellated Dodecahedron given Volume formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron, calculated using its volume. Pyramidal Height of Small Stellated Dodecahedron is denoted by h_Pyramid symbol.

How to evaluate Pyramidal Height of Small Stellated Dodecahedron given Volume using this online evaluator? To use this online evaluator for Pyramidal Height of Small Stellated Dodecahedron given Volume, enter Volume of Small Stellated Dodecahedron (V) and hit the calculate button.

FAQs on Pyramidal Height of Small Stellated Dodecahedron given Volume

What is the formula to find Pyramidal Height of Small Stellated Dodecahedron given Volume?

The formula of Pyramidal Height of Small Stellated Dodecahedron given Volume is expressed as Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3)). Here is an example- 13.72751 = ((sqrt(25+10*sqrt(5)))/5)*(((4*17000)/(5*(7+3*sqrt(5))))^(1/3)).

How to calculate Pyramidal Height of Small Stellated Dodecahedron given Volume?

With Volume of Small Stellated Dodecahedron (V) we can find Pyramidal Height of Small Stellated Dodecahedron given Volume using the formula - Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(((4*Volume of Small Stellated Dodecahedron)/(5*(7+3*sqrt(5))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pyramidal Height of Small Stellated Dodecahedron?

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

Pyramidal Height of Small Stellated Dodecahedron=((sqrt(25+10*sqrt(5)))/5)*Edge Length of Small Stellated Dodecahedron
Pyramidal Height of Small Stellated Dodecahedron=((sqrt(25+10*sqrt(5)))/5)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))
Pyramidal Height of Small Stellated Dodecahedron=((sqrt(25+10*sqrt(5)))/5)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))

Can the Pyramidal Height of Small Stellated Dodecahedron given Volume be negative?

No, the Pyramidal Height of Small Stellated Dodecahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Pyramidal Height of Small Stellated Dodecahedron given Volume?

Pyramidal Height of Small Stellated Dodecahedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pyramidal Height of Small Stellated Dodecahedron given Volume can be measured.

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