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Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area 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 (\sqrt{\frac{TSA}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}})

h_Pyramid - Pyramidal Height of Small Stellated Dodecahedron?TSA - Total Surface Area of Small Stellated Dodecahedron?

Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area Example

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

13.7392 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\sqrt{\frac{4600}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}})

13.7392m = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\sqrt{\frac{4600m²}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}})

13.7392 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\sqrt{\frac{4600}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}})

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Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\sqrt{\frac{TSA}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}})

Next Step Substitute values of Variables

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\sqrt{\frac{4600m²}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}})

Next Step Prepare to Evaluate

∴

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\sqrt{\frac{4600}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}})

Next Step Evaluate

∴

h Pyramid = 13.7391626484325m

LAST Step Rounding Answer

∴

h Pyramid = 13.7392m

Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area 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

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 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 Total Surface Area?

Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area evaluator uses Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(sqrt(Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5)))))) to evaluate the Pyramidal Height of Small Stellated Dodecahedron, Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron, calculated using its total surface area. Pyramidal Height of Small Stellated Dodecahedron is denoted by h_Pyramid symbol.

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

FAQs on Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area

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

The formula of Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area is expressed as Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(sqrt(Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5)))))). Here is an example- 13.73916 = ((sqrt(25+10*sqrt(5)))/5)*(sqrt(4600/(15*(sqrt(5+2*sqrt(5)))))).

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

With Total Surface Area of Small Stellated Dodecahedron (TSA) we can find Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area using the formula - Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(sqrt(Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5)))))). 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 Total Surface Area be negative?

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

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

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

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