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Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio 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{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot AV})

h_Pyramid - Pyramidal Height of Small Stellated Dodecahedron?AV - SA:V of Small Stellated Dodecahedron?

Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio Example

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

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

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

12.3607 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})

12.3607m = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3m⁻¹})

12.3607 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})

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Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot AV})

Next Step Substitute values of Variables

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3m⁻¹})

Next Step Prepare to Evaluate

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})

Next Step Evaluate

∴

h Pyramid = 12.3606797749979m

LAST Step Rounding Answer

∴

h Pyramid = 12.3607m

Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio 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

SA:V of Small Stellated Dodecahedron

SA:V of Small Stellated Dodecahedron is the numerical ratio of the total surface area of a Small Stellated Dodecahedron to the volume of the Small Stellated Dodecahedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Surface to Volume Ratio?

Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio evaluator uses Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron)) to evaluate the Pyramidal Height of Small Stellated Dodecahedron, Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron, calculated using its surface to volume ratio. Pyramidal Height of Small Stellated Dodecahedron is denoted by h_Pyramid symbol.

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

FAQs on Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio

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

The formula of Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio is expressed as Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron)). Here is an example- 12.36068 = ((sqrt(25+10*sqrt(5)))/5)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*0.3)).

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

With SA:V of Small Stellated Dodecahedron (AV) we can find Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio using the formula - Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron)). 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 Surface to Volume Ratio be negative?

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

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

Pyramidal Height of Small Stellated Dodecahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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