FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Edge Length of Small Stellated Dodecahedron given Pyramidal Height Formula

GoEdge Length of Small Stellated Dodecahedron given Ridge Length Formula

GoEdge Length of Small Stellated Dodecahedron given Pentagram Chord Formula

Fx Copy

LaTeX Copy

Edge Length of Small Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Small Stellated Dodecahedron. Check FAQs

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

l_e - Edge Length of Small Stellated Dodecahedron?h_Pyramid - Pyramidal Height of Small Stellated Dodecahedron?

Edge Length of Small Stellated Dodecahedron given Pyramidal Height Example

With values

With units

Only example

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

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

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

10.1716 = \frac{5 \cdot 14}{\sqrt{25 + 10 \cdot \sqrt{5}}}

10.1716m = \frac{5 \cdot 14m}{\sqrt{25 + 10 \cdot \sqrt{5}}}

10.1716 = \frac{5 \cdot 14}{\sqrt{25 + 10 \cdot \sqrt{5}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Edge Length of Small Stellated Dodecahedron given Pyramidal Height

Edge Length of Small Stellated Dodecahedron given Pyramidal Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{5 \cdot 14m}{\sqrt{25 + 10 \cdot \sqrt{5}}}

Next Step Prepare to Evaluate

∴

l e = \frac{5 \cdot 14}{\sqrt{25 + 10 \cdot \sqrt{5}}}

Next Step Evaluate

∴

l e = 10.1715953920751m

LAST Step Rounding Answer

∴

l e = 10.1716m

Edge Length of Small Stellated Dodecahedron given Pyramidal Height Formula Elements

Variables

Functions

Edge Length of Small Stellated Dodecahedron

Edge Length of Small Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Small Stellated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Small Stellated Dodecahedron

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

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 Edge Length of Small Stellated Dodecahedron

Go Edge Length of Small Stellated Dodecahedron given Ridge Length

l e = \frac{2 \cdot l Ridge}{1 + \sqrt{5}}

Go Edge Length of Small Stellated Dodecahedron given Pentagram Chord

l e = \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Edge Length of Small Stellated Dodecahedron given Circumradius

l e = \frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}}

Go Edge Length of Small Stellated Dodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}}

How to Evaluate Edge Length of Small Stellated Dodecahedron given Pyramidal Height?

Edge Length of Small Stellated Dodecahedron given Pyramidal Height evaluator uses Edge Length of Small Stellated Dodecahedron = (5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))) to evaluate the Edge Length of Small Stellated Dodecahedron, Edge Length of Small Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any pair of adjacent peak vertices of the Small Stellated Dodecahedron, calculated using its pyramidal height. Edge Length of Small Stellated Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Small Stellated Dodecahedron given Pyramidal Height

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

The formula of Edge Length of Small Stellated Dodecahedron given Pyramidal Height is expressed as Edge Length of Small Stellated Dodecahedron = (5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))). Here is an example- 10.1716 = (5*14)/(sqrt(25+10*sqrt(5))).

How to calculate Edge Length of Small Stellated Dodecahedron given Pyramidal Height?

With Pyramidal Height of Small Stellated Dodecahedron (h_Pyramid) we can find Edge Length of Small Stellated Dodecahedron given Pyramidal Height using the formula - Edge Length of Small Stellated Dodecahedron = (5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Small Stellated Dodecahedron?

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

Edge Length of Small Stellated Dodecahedron=(2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5))
Edge Length of Small Stellated Dodecahedron=Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5))
Edge Length of Small Stellated Dodecahedron=(4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit