FormulaDen.com

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

Long Edge of Hexakis Icosahedron given Midsphere Radius Formula

GoLong Edge of Hexakis Icosahedron given Medium Edge Formula

GoLong Edge of Hexakis Icosahedron given Short Edge Formula

Fx Copy

LaTeX Copy

Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron. Check FAQs

l e(Long) = \frac{8 \cdot r m}{5 + (3 \cdot \sqrt{5})}

l_e(Long) - Long Edge of Hexakis Icosahedron?r_m - Midsphere Radius of Hexakis Icosahedron?

Long Edge of Hexakis Icosahedron given Midsphere Radius Example

With values

With units

Only example

Here is how the Long Edge of Hexakis Icosahedron given Midsphere Radius equation looks like with Values.

Here is how the Long Edge of Hexakis Icosahedron given Midsphere Radius equation looks like with Units.

Here is how the Long Edge of Hexakis Icosahedron given Midsphere Radius equation looks like.

10.2492 = \frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})}

10.2492m = \frac{8 \cdot 15m}{5 + (3 \cdot \sqrt{5})}

10.2492 = \frac{8 \cdot 15}{5 + (3 \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 Long Edge of Hexakis Icosahedron given Midsphere Radius

Long Edge of Hexakis Icosahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Long Edge of Hexakis Icosahedron given Midsphere Radius?

FIRST Step Consider the formula

l e(Long) = \frac{8 \cdot r m}{5 + (3 \cdot \sqrt{5})}

Next Step Substitute values of Variables

∴

l e(Long) = \frac{8 \cdot 15m}{5 + (3 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

l e(Long) = \frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})}

Next Step Evaluate

∴

l e(Long) = 10.2492235949962m

LAST Step Rounding Answer

∴

l e(Long) = 10.2492m

Long Edge of Hexakis Icosahedron given Midsphere Radius Formula Elements

Variables

Functions

Long Edge of Hexakis Icosahedron

Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Hexakis Icosahedron

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 Long Edge of Hexakis Icosahedron

Go Long Edge of Hexakis Icosahedron given Medium Edge

l e(Long) = \frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})}

Go Long Edge of Hexakis Icosahedron given Short Edge

l e(Long) = \frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})}

Go Long Edge of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

l e(Long) = (\frac{2}{5}) \cdot l e(Truncated Icosidodecahedron) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

Go Long Edge of Hexakis Icosahedron given Total Surface Area

l e(Long) = \sqrt{\frac{44 \cdot TSA}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}}

How to Evaluate Long Edge of Hexakis Icosahedron given Midsphere Radius?

Long Edge of Hexakis Icosahedron given Midsphere Radius evaluator uses Long Edge of Hexakis Icosahedron = (8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))) to evaluate the Long Edge of Hexakis Icosahedron, Long Edge of Hexakis Icosahedron given Midsphere Radius formula is defined as the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron, calculated using midsphere radius of Hexakis Icosahedron. Long Edge of Hexakis Icosahedron is denoted by l_e(Long) symbol.

How to evaluate Long Edge of Hexakis Icosahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Long Edge of Hexakis Icosahedron given Midsphere Radius, enter Midsphere Radius of Hexakis Icosahedron (r_m) and hit the calculate button.

FAQs on Long Edge of Hexakis Icosahedron given Midsphere Radius

What is the formula to find Long Edge of Hexakis Icosahedron given Midsphere Radius?

The formula of Long Edge of Hexakis Icosahedron given Midsphere Radius is expressed as Long Edge of Hexakis Icosahedron = (8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))). Here is an example- 10.24922 = (8*15)/(5+(3*sqrt(5))).

How to calculate Long Edge of Hexakis Icosahedron given Midsphere Radius?

With Midsphere Radius of Hexakis Icosahedron (r_m) we can find Long Edge of Hexakis Icosahedron given Midsphere Radius using the formula - Long Edge of Hexakis Icosahedron = (8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Edge of Hexakis Icosahedron?

Here are the different ways to Calculate Long Edge of Hexakis Icosahedron-

Long Edge of Hexakis Icosahedron=(22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5)))
Long Edge of Hexakis Icosahedron=(44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))
Long Edge of Hexakis Icosahedron=(2/5)*Truncated Edge of Hexakis Icosahedron*(sqrt(15*(5-sqrt(5))))

Can the Long Edge of Hexakis Icosahedron given Midsphere Radius be negative?

No, the Long Edge of Hexakis Icosahedron given Midsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Hexakis Icosahedron given Midsphere Radius?

Long Edge of Hexakis Icosahedron given Midsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Edge of Hexakis Icosahedron given Midsphere Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit