FormulaDen.com

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

Long Ridge Length of Great Icosahedron given Total Surface Area Formula

GoLong Ridge Length of Great Icosahedron Formula

GoLong Ridge Length of Great Icosahedron given Mid Ridge Length Formula

Fx Copy

LaTeX Copy

Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached. Check FAQs

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

l_Ridge(Long) - Long Ridge Length of Great Icosahedron?TSA - Total Surface Area of Great Icosahedron?

Long Ridge Length of Great Icosahedron given Total Surface Area Example

With values

With units

Only example

Here is how the Long Ridge Length of Great Icosahedron given Total Surface Area equation looks like with Values.

Here is how the Long Ridge Length of Great Icosahedron given Total Surface Area equation looks like with Units.

Here is how the Long Ridge Length of Great Icosahedron given Total Surface Area equation looks like.

16.5057 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

16.5057m = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \sqrt{\frac{7200m²}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

16.5057 = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \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 Ridge Length of Great Icosahedron given Total Surface Area

Long Ridge Length of Great Icosahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Long Ridge Length of Great Icosahedron given Total Surface Area?

FIRST Step Consider the formula

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

Next Step Substitute values of Variables

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \sqrt{\frac{7200m²}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

Next Step Prepare to Evaluate

∴

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \sqrt{\frac{7200}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

Next Step Evaluate

∴

l Ridge(Long) = 16.505651148174m

LAST Step Rounding Answer

∴

l Ridge(Long) = 16.5057m

Long Ridge Length of Great Icosahedron given Total Surface Area Formula Elements

Variables

Functions

Long Ridge Length of Great Icosahedron

Long Ridge Length of Great Icosahedron is the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of Great Icosahedron is attached.

Symbol: l_Ridge(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Ridge Length of Great Icosahedron

Total Surface Area of Great Icosahedron

Total Surface Area of Great Icosahedron is the total quantity of plane enclosed on the entire surface of the Great Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Great 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 Ridge Length of Great Icosahedron

Go Long Ridge Length of Great Icosahedron

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot l e

Go Long Ridge Length of Great Icosahedron given Mid Ridge Length

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

Go Long Ridge Length of Great Icosahedron given Short Ridge Length

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{5 \cdot l Ridge(Short)}{\sqrt{10}}

Go Long Ridge Length of Great Icosahedron given Circumsphere Radius

l Ridge(Long) = \frac{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}{10} \cdot \frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}}

How to Evaluate Long Ridge Length of Great Icosahedron given Total Surface Area?

Long Ridge Length of Great Icosahedron given Total Surface Area evaluator uses Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))) to evaluate the Long Ridge Length of Great Icosahedron, Long Ridge Length of Great Icosahedron given Total Surface Area formula is defined as the length of any of the edges that connects the peak vertex and adjacent vertex of the pentagon on which each peak of the Great Icosahedron is attached, calculated using total surface area. Long Ridge Length of Great Icosahedron is denoted by l_Ridge(Long) symbol.

How to evaluate Long Ridge Length of Great Icosahedron given Total Surface Area using this online evaluator? To use this online evaluator for Long Ridge Length of Great Icosahedron given Total Surface Area, enter Total Surface Area of Great Icosahedron (TSA) and hit the calculate button.

FAQs on Long Ridge Length of Great Icosahedron given Total Surface Area

What is the formula to find Long Ridge Length of Great Icosahedron given Total Surface Area?

The formula of Long Ridge Length of Great Icosahedron given Total Surface Area is expressed as Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))). Here is an example- 16.50565 = (sqrt(2)*(5+(3*sqrt(5))))/10*sqrt(7200/(3*sqrt(3)*(5+(4*sqrt(5))))).

How to calculate Long Ridge Length of Great Icosahedron given Total Surface Area?

With Total Surface Area of Great Icosahedron (TSA) we can find Long Ridge Length of Great Icosahedron given Total Surface Area using the formula - Long Ridge Length of Great Icosahedron = (sqrt(2)*(5+(3*sqrt(5))))/10*sqrt(Total Surface Area of Great Icosahedron/(3*sqrt(3)*(5+(4*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Ridge Length of Great Icosahedron?

Here are the different ways to Calculate Long Ridge Length of Great Icosahedron-

Long Ridge Length of Great Icosahedron=(sqrt(2)*(5+(3*sqrt(5))))/10*Edge Length of Great Icosahedron
Long Ridge Length of Great Icosahedron=(sqrt(2)*(5+(3*sqrt(5))))/10*(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
Long Ridge Length of Great Icosahedron=(sqrt(2)*(5+(3*sqrt(5))))/10*(5*Short Ridge Length of Great Icosahedron)/sqrt(10)

Can the Long Ridge Length of Great Icosahedron given Total Surface Area be negative?

No, the Long Ridge Length of Great Icosahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Long Ridge Length of Great Icosahedron given Total Surface Area?

Long Ridge Length of Great Icosahedron 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 Long Ridge Length of Great Icosahedron given Total Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit